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Finding the Third Proportional to 107,343 and 233,149.50

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Solution

The third proportional to 107,343 and 233,149.50 is: 506,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,343 : 233,149.50 = 233,149.50 : x
  2. Step 2: Convert to fraction form
    107,343/233,149.50 = 233,149.50/x
  3. Step 3: Cross multiply
    107,343x = 233,149.50 × 233,149.50
  4. Step 4: Simplify right side
    107,343x = 54,358,689,350.25
  5. Step 5: Solve for x
    x = 54,358,689,350.25/107,343
  6. Step 6: Final answer
    x = 506,401.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.