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Finding the Third Proportional to 279,354 and 432,468

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Solution

The third proportional to 279,354 and 432,468 is: 669,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,354 : 432,468 = 432,468 : x
  2. Step 2: Convert to fraction form
    279,354/432,468 = 432,468/x
  3. Step 3: Cross multiply
    279,354x = 432,468 × 432,468
  4. Step 4: Simplify right side
    279,354x = 187,028,571,024
  5. Step 5: Solve for x
    x = 187,028,571,024/279,354
  6. Step 6: Final answer
    x = 669,503.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.