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Finding the Third Proportional to 61,640 and 90,264

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Solution

The third proportional to 61,640 and 90,264 is: 132,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,640 : 90,264 = 90,264 : x
  2. Step 2: Convert to fraction form
    61,640/90,264 = 90,264/x
  3. Step 3: Cross multiply
    61,640x = 90,264 × 90,264
  4. Step 4: Simplify right side
    61,640x = 8,147,589,696
  5. Step 5: Solve for x
    x = 8,147,589,696/61,640
  6. Step 6: Final answer
    x = 132,180.24

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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.