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Finding the Third Proportional to 115,294.50 and 155,440.50

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Solution

The third proportional to 115,294.50 and 155,440.50 is: 209,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,294.50 : 155,440.50 = 155,440.50 : x
  2. Step 2: Convert to fraction form
    115,294.50/155,440.50 = 155,440.50/x
  3. Step 3: Cross multiply
    115,294.50x = 155,440.50 × 155,440.50
  4. Step 4: Simplify right side
    115,294.50x = 24,161,749,040.25
  5. Step 5: Solve for x
    x = 24,161,749,040.25/115,294.50
  6. Step 6: Final answer
    x = 209,565.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.