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Finding the Third Proportional to 61,578 and 132,365

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Solution

The third proportional to 61,578 and 132,365 is: 284,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,578 : 132,365 = 132,365 : x
  2. Step 2: Convert to fraction form
    61,578/132,365 = 132,365/x
  3. Step 3: Cross multiply
    61,578x = 132,365 × 132,365
  4. Step 4: Simplify right side
    61,578x = 17,520,493,225
  5. Step 5: Solve for x
    x = 17,520,493,225/61,578
  6. Step 6: Final answer
    x = 284,525.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.