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Finding the Third Proportional to 180,130.50 and 391,972.50

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Solution

The third proportional to 180,130.50 and 391,972.50 is: 852,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,130.50 : 391,972.50 = 391,972.50 : x
  2. Step 2: Convert to fraction form
    180,130.50/391,972.50 = 391,972.50/x
  3. Step 3: Cross multiply
    180,130.50x = 391,972.50 × 391,972.50
  4. Step 4: Simplify right side
    180,130.50x = 153,642,440,756.25
  5. Step 5: Solve for x
    x = 153,642,440,756.25/180,130.50
  6. Step 6: Final answer
    x = 852,950.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.