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Finding the Third Proportional to 59,911 and 90,959

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Solution

The third proportional to 59,911 and 90,959 is: 138,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,911 : 90,959 = 90,959 : x
  2. Step 2: Convert to fraction form
    59,911/90,959 = 90,959/x
  3. Step 3: Cross multiply
    59,911x = 90,959 × 90,959
  4. Step 4: Simplify right side
    59,911x = 8,273,539,681
  5. Step 5: Solve for x
    x = 8,273,539,681/59,911
  6. Step 6: Final answer
    x = 138,097.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.