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Finding the Third Proportional to 680,120,072 and 1,454,796,304

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Solution

The third proportional to 680,120,072 and 1,454,796,304 is: 3,111,850,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,120,072 : 1,454,796,304 = 1,454,796,304 : x
  2. Step 2: Convert to fraction form
    680,120,072/1,454,796,304 = 1,454,796,304/x
  3. Step 3: Cross multiply
    680,120,072x = 1,454,796,304 × 1,454,796,304
  4. Step 4: Simplify right side
    680,120,072x = 2,116,432,286,132,060,416
  5. Step 5: Solve for x
    x = 2,116,432,286,132,060,416/680,120,072
  6. Step 6: Final answer
    x = 3,111,850,941.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.