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Finding the Third Proportional to 432,331.50 and 690,660

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Solution

The third proportional to 432,331.50 and 690,660 is: 1,103,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,331.50 : 690,660 = 690,660 : x
  2. Step 2: Convert to fraction form
    432,331.50/690,660 = 690,660/x
  3. Step 3: Cross multiply
    432,331.50x = 690,660 × 690,660
  4. Step 4: Simplify right side
    432,331.50x = 477,011,235,600
  5. Step 5: Solve for x
    x = 477,011,235,600/432,331.50
  6. Step 6: Final answer
    x = 1,103,346.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.