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Finding the Third Proportional to 432,742 and 665,561

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Solution

The third proportional to 432,742 and 665,561 is: 1,023,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,742 : 665,561 = 665,561 : x
  2. Step 2: Convert to fraction form
    432,742/665,561 = 665,561/x
  3. Step 3: Cross multiply
    432,742x = 665,561 × 665,561
  4. Step 4: Simplify right side
    432,742x = 442,971,444,721
  5. Step 5: Solve for x
    x = 442,971,444,721/432,742
  6. Step 6: Final answer
    x = 1,023,638.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.