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Finding the Third Proportional to 78,386.50 and 169,350.50

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Solution

The third proportional to 78,386.50 and 169,350.50 is: 365,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,386.50 : 169,350.50 = 169,350.50 : x
  2. Step 2: Convert to fraction form
    78,386.50/169,350.50 = 169,350.50/x
  3. Step 3: Cross multiply
    78,386.50x = 169,350.50 × 169,350.50
  4. Step 4: Simplify right side
    78,386.50x = 28,679,591,850.25
  5. Step 5: Solve for x
    x = 28,679,591,850.25/78,386.50
  6. Step 6: Final answer
    x = 365,874.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.