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Finding the Third Proportional to 115,242.75 and 155,354.63

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Solution

The third proportional to 115,242.75 and 155,354.63 is: 209,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,242.75 : 155,354.63 = 155,354.63 : x
  2. Step 2: Convert to fraction form
    115,242.75/155,354.63 = 155,354.63/x
  3. Step 3: Cross multiply
    115,242.75x = 155,354.63 × 155,354.63
  4. Step 4: Simplify right side
    115,242.75x = 24,135,059,508.89
  5. Step 5: Solve for x
    x = 24,135,059,508.89/115,242.75
  6. Step 6: Final answer
    x = 209,428.01

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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.