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Finding the Third Proportional to 78,796.13 and 118,275.19

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Solution

The third proportional to 78,796.13 and 118,275.19 is: 177,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,796.13 : 118,275.19 = 118,275.19 : x
  2. Step 2: Convert to fraction form
    78,796.13/118,275.19 = 118,275.19/x
  3. Step 3: Cross multiply
    78,796.13x = 118,275.19 × 118,275.19
  4. Step 4: Simplify right side
    78,796.13x = 13,989,019,978.16
  5. Step 5: Solve for x
    x = 13,989,019,978.16/78,796.13
  6. Step 6: Final answer
    x = 177,534.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.