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Finding the Third Proportional to 61,582 and 90,180

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Solution

The third proportional to 61,582 and 90,180 is: 132,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,582 : 90,180 = 90,180 : x
  2. Step 2: Convert to fraction form
    61,582/90,180 = 90,180/x
  3. Step 3: Cross multiply
    61,582x = 90,180 × 90,180
  4. Step 4: Simplify right side
    61,582x = 8,132,432,400
  5. Step 5: Solve for x
    x = 8,132,432,400/61,582
  6. Step 6: Final answer
    x = 132,058.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.