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Finding the Third Proportional to 40,640 and 88,312

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Solution

The third proportional to 40,640 and 88,312 is: 191,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,640 : 88,312 = 88,312 : x
  2. Step 2: Convert to fraction form
    40,640/88,312 = 88,312/x
  3. Step 3: Cross multiply
    40,640x = 88,312 × 88,312
  4. Step 4: Simplify right side
    40,640x = 7,799,009,344
  5. Step 5: Solve for x
    x = 7,799,009,344/40,640
  6. Step 6: Final answer
    x = 191,904.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.