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Finding the Third Proportional to 61,530.75 and 87,987.38

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Solution

The third proportional to 61,530.75 and 87,987.38 is: 125,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,530.75 : 87,987.38 = 87,987.38 : x
  2. Step 2: Convert to fraction form
    61,530.75/87,987.38 = 87,987.38/x
  3. Step 3: Cross multiply
    61,530.75x = 87,987.38 × 87,987.38
  4. Step 4: Simplify right side
    61,530.75x = 7,741,778,159.39
  5. Step 5: Solve for x
    x = 7,741,778,159.39/61,530.75
  6. Step 6: Final answer
    x = 125,819.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.