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Finding the Third Proportional to 432,740 and 665,558

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Solution

The third proportional to 432,740 and 665,558 is: 1,023,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,740 : 665,558 = 665,558 : x
  2. Step 2: Convert to fraction form
    432,740/665,558 = 665,558/x
  3. Step 3: Cross multiply
    432,740x = 665,558 × 665,558
  4. Step 4: Simplify right side
    432,740x = 442,967,451,364
  5. Step 5: Solve for x
    x = 442,967,451,364/432,740
  6. Step 6: Final answer
    x = 1,023,634.17

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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.