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Finding the Third Proportional to 66,127 and 138,715

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Solution

The third proportional to 66,127 and 138,715 is: 290,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,127 : 138,715 = 138,715 : x
  2. Step 2: Convert to fraction form
    66,127/138,715 = 138,715/x
  3. Step 3: Cross multiply
    66,127x = 138,715 × 138,715
  4. Step 4: Simplify right side
    66,127x = 19,241,851,225
  5. Step 5: Solve for x
    x = 19,241,851,225/66,127
  6. Step 6: Final answer
    x = 290,983.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.