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Finding the Third Proportional to 71,475.75 and 155,401.45

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Solution

The third proportional to 71,475.75 and 155,401.45 is: 337,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,475.75 : 155,401.45 = 155,401.45 : x
  2. Step 2: Convert to fraction form
    71,475.75/155,401.45 = 155,401.45/x
  3. Step 3: Cross multiply
    71,475.75x = 155,401.45 × 155,401.45
  4. Step 4: Simplify right side
    71,475.75x = 24,149,611,633.36
  5. Step 5: Solve for x
    x = 24,149,611,633.36/71,475.75
  6. Step 6: Final answer
    x = 337,871.40

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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.