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Finding the Third Proportional to 316,592 and 491,784

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Solution

The third proportional to 316,592 and 491,784 is: 763,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,592 : 491,784 = 491,784 : x
  2. Step 2: Convert to fraction form
    316,592/491,784 = 491,784/x
  3. Step 3: Cross multiply
    316,592x = 491,784 × 491,784
  4. Step 4: Simplify right side
    316,592x = 241,851,502,656
  5. Step 5: Solve for x
    x = 241,851,502,656/316,592
  6. Step 6: Final answer
    x = 763,921.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.