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Finding the Third Proportional to 142,200.66 and 307,207.31

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Solution

The third proportional to 142,200.66 and 307,207.31 is: 663,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,200.66 : 307,207.31 = 307,207.31 : x
  2. Step 2: Convert to fraction form
    142,200.66/307,207.31 = 307,207.31/x
  3. Step 3: Cross multiply
    142,200.66x = 307,207.31 × 307,207.31
  4. Step 4: Simplify right side
    142,200.66x = 94,376,332,853.47
  5. Step 5: Solve for x
    x = 94,376,332,853.47/142,200.66
  6. Step 6: Final answer
    x = 663,684.23

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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.