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Finding the Third Proportional to 180,401.50 and 391,545

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Solution

The third proportional to 180,401.50 and 391,545 is: 849,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,401.50 : 391,545 = 391,545 : x
  2. Step 2: Convert to fraction form
    180,401.50/391,545 = 391,545/x
  3. Step 3: Cross multiply
    180,401.50x = 391,545 × 391,545
  4. Step 4: Simplify right side
    180,401.50x = 153,307,487,025
  5. Step 5: Solve for x
    x = 153,307,487,025/180,401.50
  6. Step 6: Final answer
    x = 849,812.71

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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.