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Finding the Third Proportional to 42,918 and 62,840

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Solution

The third proportional to 42,918 and 62,840 is: 92,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,918 : 62,840 = 62,840 : x
  2. Step 2: Convert to fraction form
    42,918/62,840 = 62,840/x
  3. Step 3: Cross multiply
    42,918x = 62,840 × 62,840
  4. Step 4: Simplify right side
    42,918x = 3,948,865,600
  5. Step 5: Solve for x
    x = 3,948,865,600/42,918
  6. Step 6: Final answer
    x = 92,009.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.