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Finding the Third Proportional to 42,489 and 93,365

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Solution

The third proportional to 42,489 and 93,365 is: 205,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,489 : 93,365 = 93,365 : x
  2. Step 2: Convert to fraction form
    42,489/93,365 = 93,365/x
  3. Step 3: Cross multiply
    42,489x = 93,365 × 93,365
  4. Step 4: Simplify right side
    42,489x = 8,717,023,225
  5. Step 5: Solve for x
    x = 8,717,023,225/42,489
  6. Step 6: Final answer
    x = 205,159.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.