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Finding the Third Proportional to 61,633 and 87,310

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Solution

The third proportional to 61,633 and 87,310 is: 123,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,633 : 87,310 = 87,310 : x
  2. Step 2: Convert to fraction form
    61,633/87,310 = 87,310/x
  3. Step 3: Cross multiply
    61,633x = 87,310 × 87,310
  4. Step 4: Simplify right side
    61,633x = 7,623,036,100
  5. Step 5: Solve for x
    x = 7,623,036,100/61,633
  6. Step 6: Final answer
    x = 123,684.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.