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Finding the Third Proportional to 77,985.75 and 108,657

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Solution

The third proportional to 77,985.75 and 108,657 is: 151,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985.75 : 108,657 = 108,657 : x
  2. Step 2: Convert to fraction form
    77,985.75/108,657 = 108,657/x
  3. Step 3: Cross multiply
    77,985.75x = 108,657 × 108,657
  4. Step 4: Simplify right side
    77,985.75x = 11,806,343,649
  5. Step 5: Solve for x
    x = 11,806,343,649/77,985.75
  6. Step 6: Final answer
    x = 151,391.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.