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Finding the Third Proportional to 66,654 and 137,076

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Solution

The third proportional to 66,654 and 137,076 is: 281,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,654 : 137,076 = 137,076 : x
  2. Step 2: Convert to fraction form
    66,654/137,076 = 137,076/x
  3. Step 3: Cross multiply
    66,654x = 137,076 × 137,076
  4. Step 4: Simplify right side
    66,654x = 18,789,829,776
  5. Step 5: Solve for x
    x = 18,789,829,776/66,654
  6. Step 6: Final answer
    x = 281,901.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.