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Finding the Third Proportional to 315,464 and 683,389

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Solution

The third proportional to 315,464 and 683,389 is: 1,480,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,464 : 683,389 = 683,389 : x
  2. Step 2: Convert to fraction form
    315,464/683,389 = 683,389/x
  3. Step 3: Cross multiply
    315,464x = 683,389 × 683,389
  4. Step 4: Simplify right side
    315,464x = 467,020,525,321
  5. Step 5: Solve for x
    x = 467,020,525,321/315,464
  6. Step 6: Final answer
    x = 1,480,424.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.