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Finding the Third Proportional to 64,332 and 137,160

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Solution

The third proportional to 64,332 and 137,160 is: 292,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,332 : 137,160 = 137,160 : x
  2. Step 2: Convert to fraction form
    64,332/137,160 = 137,160/x
  3. Step 3: Cross multiply
    64,332x = 137,160 × 137,160
  4. Step 4: Simplify right side
    64,332x = 18,812,865,600
  5. Step 5: Solve for x
    x = 18,812,865,600/64,332
  6. Step 6: Final answer
    x = 292,434.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.