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Finding the Third Proportional to 267,637.50 and 391,405.50

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Solution

The third proportional to 267,637.50 and 391,405.50 is: 572,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,637.50 : 391,405.50 = 391,405.50 : x
  2. Step 2: Convert to fraction form
    267,637.50/391,405.50 = 391,405.50/x
  3. Step 3: Cross multiply
    267,637.50x = 391,405.50 × 391,405.50
  4. Step 4: Simplify right side
    267,637.50x = 153,198,265,430.25
  5. Step 5: Solve for x
    x = 153,198,265,430.25/267,637.50
  6. Step 6: Final answer
    x = 572,409.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.