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Finding the Third Proportional to 76,689 and 117,829.50

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Solution

The third proportional to 76,689 and 117,829.50 is: 181,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,689 : 117,829.50 = 117,829.50 : x
  2. Step 2: Convert to fraction form
    76,689/117,829.50 = 117,829.50/x
  3. Step 3: Cross multiply
    76,689x = 117,829.50 × 117,829.50
  4. Step 4: Simplify right side
    76,689x = 13,883,791,070.25
  5. Step 5: Solve for x
    x = 13,883,791,070.25/76,689
  6. Step 6: Final answer
    x = 181,040.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.