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Finding the Third Proportional to 61,276 and 132,730

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Solution

The third proportional to 61,276 and 132,730 is: 287,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,276 : 132,730 = 132,730 : x
  2. Step 2: Convert to fraction form
    61,276/132,730 = 132,730/x
  3. Step 3: Cross multiply
    61,276x = 132,730 × 132,730
  4. Step 4: Simplify right side
    61,276x = 17,617,252,900
  5. Step 5: Solve for x
    x = 17,617,252,900/61,276
  6. Step 6: Final answer
    x = 287,506.58

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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.