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Finding the Third Proportional to 88,032 and 131,709

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Solution

The third proportional to 88,032 and 131,709 is: 197,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,032 : 131,709 = 131,709 : x
  2. Step 2: Convert to fraction form
    88,032/131,709 = 131,709/x
  3. Step 3: Cross multiply
    88,032x = 131,709 × 131,709
  4. Step 4: Simplify right side
    88,032x = 17,347,260,681
  5. Step 5: Solve for x
    x = 17,347,260,681/88,032
  6. Step 6: Final answer
    x = 197,056.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.