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Finding the Third Proportional to 62,698 and 87,890

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Solution

The third proportional to 62,698 and 87,890 is: 123,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,698 : 87,890 = 87,890 : x
  2. Step 2: Convert to fraction form
    62,698/87,890 = 87,890/x
  3. Step 3: Cross multiply
    62,698x = 87,890 × 87,890
  4. Step 4: Simplify right side
    62,698x = 7,724,652,100
  5. Step 5: Solve for x
    x = 7,724,652,100/62,698
  6. Step 6: Final answer
    x = 123,204.12

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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.