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Finding the Third Proportional to 353,243,464,368 and 770,420,277,336

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Solution

The third proportional to 353,243,464,368 and 770,420,277,336 is: 1,680,278,514,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,243,464,368 : 770,420,277,336 = 770,420,277,336 : x
  2. Step 2: Convert to fraction form
    353,243,464,368/770,420,277,336 = 770,420,277,336/x
  3. Step 3: Cross multiply
    353,243,464,368x = 770,420,277,336 × 770,420,277,336
  4. Step 4: Simplify right side
    353,243,464,368x = 593,547,403,730,479,183,036,416
  5. Step 5: Solve for x
    x = 593,547,403,730,479,183,036,416/353,243,464,368
  6. Step 6: Final answer
    x = 1,680,278,514,968.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.