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Finding the Third Proportional to 63,918 and 89,391

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Solution

The third proportional to 63,918 and 89,391 is: 125,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,918 : 89,391 = 89,391 : x
  2. Step 2: Convert to fraction form
    63,918/89,391 = 89,391/x
  3. Step 3: Cross multiply
    63,918x = 89,391 × 89,391
  4. Step 4: Simplify right side
    63,918x = 7,990,750,881
  5. Step 5: Solve for x
    x = 7,990,750,881/63,918
  6. Step 6: Final answer
    x = 125,015.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.