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Finding the Third Proportional to 316,613 and 683,743

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Solution

The third proportional to 316,613 and 683,743 is: 1,476,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,613 : 683,743 = 683,743 : x
  2. Step 2: Convert to fraction form
    316,613/683,743 = 683,743/x
  3. Step 3: Cross multiply
    316,613x = 683,743 × 683,743
  4. Step 4: Simplify right side
    316,613x = 467,504,490,049
  5. Step 5: Solve for x
    x = 467,504,490,049/316,613
  6. Step 6: Final answer
    x = 1,476,580.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.