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Finding the Third Proportional to 61,260 and 90,732

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Solution

The third proportional to 61,260 and 90,732 is: 134,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,260 : 90,732 = 90,732 : x
  2. Step 2: Convert to fraction form
    61,260/90,732 = 90,732/x
  3. Step 3: Cross multiply
    61,260x = 90,732 × 90,732
  4. Step 4: Simplify right side
    61,260x = 8,232,295,824
  5. Step 5: Solve for x
    x = 8,232,295,824/61,260
  6. Step 6: Final answer
    x = 134,382.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.