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Finding the Third Proportional to 61,428 and 129,046

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Solution

The third proportional to 61,428 and 129,046 is: 271,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,428 : 129,046 = 129,046 : x
  2. Step 2: Convert to fraction form
    61,428/129,046 = 129,046/x
  3. Step 3: Cross multiply
    61,428x = 129,046 × 129,046
  4. Step 4: Simplify right side
    61,428x = 16,652,870,116
  5. Step 5: Solve for x
    x = 16,652,870,116/61,428
  6. Step 6: Final answer
    x = 271,095.76

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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.