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Finding the Third Proportional to 60,711 and 91,913

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Solution

The third proportional to 60,711 and 91,913 is: 139,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,711 : 91,913 = 91,913 : x
  2. Step 2: Convert to fraction form
    60,711/91,913 = 91,913/x
  3. Step 3: Cross multiply
    60,711x = 91,913 × 91,913
  4. Step 4: Simplify right side
    60,711x = 8,447,999,569
  5. Step 5: Solve for x
    x = 8,447,999,569/60,711
  6. Step 6: Final answer
    x = 139,151.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.