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Finding the Third Proportional to 78,655.50 and 169,825.50

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Solution

The third proportional to 78,655.50 and 169,825.50 is: 366,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,655.50 : 169,825.50 = 169,825.50 : x
  2. Step 2: Convert to fraction form
    78,655.50/169,825.50 = 169,825.50/x
  3. Step 3: Cross multiply
    78,655.50x = 169,825.50 × 169,825.50
  4. Step 4: Simplify right side
    78,655.50x = 28,840,700,450.25
  5. Step 5: Solve for x
    x = 28,840,700,450.25/78,655.50
  6. Step 6: Final answer
    x = 366,671.12

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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.