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Finding the Third Proportional to 66,934 and 145,528

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Solution

The third proportional to 66,934 and 145,528 is: 316,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,934 : 145,528 = 145,528 : x
  2. Step 2: Convert to fraction form
    66,934/145,528 = 145,528/x
  3. Step 3: Cross multiply
    66,934x = 145,528 × 145,528
  4. Step 4: Simplify right side
    66,934x = 21,178,398,784
  5. Step 5: Solve for x
    x = 21,178,398,784/66,934
  6. Step 6: Final answer
    x = 316,407.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.