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Finding the Third Proportional to 432,329.06 and 690,652.41

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Solution

The third proportional to 432,329.06 and 690,652.41 is: 1,103,327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,329.06 : 690,652.41 = 690,652.41 : x
  2. Step 2: Convert to fraction form
    432,329.06/690,652.41 = 690,652.41/x
  3. Step 3: Cross multiply
    432,329.06x = 690,652.41 × 690,652.41
  4. Step 4: Simplify right side
    432,329.06x = 477,000,746,258.92
  5. Step 5: Solve for x
    x = 477,000,746,258.92/432,329.06
  6. Step 6: Final answer
    x = 1,103,327.97

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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.