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Finding the Third Proportional to 61,515 and 130,686

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Solution

The third proportional to 61,515 and 130,686 is: 277,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,515 : 130,686 = 130,686 : x
  2. Step 2: Convert to fraction form
    61,515/130,686 = 130,686/x
  3. Step 3: Cross multiply
    61,515x = 130,686 × 130,686
  4. Step 4: Simplify right side
    61,515x = 17,078,830,596
  5. Step 5: Solve for x
    x = 17,078,830,596/61,515
  6. Step 6: Final answer
    x = 277,636.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.