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Finding the Third Proportional to 307,354.66 and 491,017.81

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Solution

The third proportional to 307,354.66 and 491,017.81 is: 784,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,354.66 : 491,017.81 = 491,017.81 : x
  2. Step 2: Convert to fraction form
    307,354.66/491,017.81 = 491,017.81/x
  3. Step 3: Cross multiply
    307,354.66x = 491,017.81 × 491,017.81
  4. Step 4: Simplify right side
    307,354.66x = 241,098,487,397.18
  5. Step 5: Solve for x
    x = 241,098,487,397.18/307,354.66
  6. Step 6: Final answer
    x = 784,430.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.