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Finding the Third Proportional to 180,542 and 279,409

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Solution

The third proportional to 180,542 and 279,409 is: 432,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,542 : 279,409 = 279,409 : x
  2. Step 2: Convert to fraction form
    180,542/279,409 = 279,409/x
  3. Step 3: Cross multiply
    180,542x = 279,409 × 279,409
  4. Step 4: Simplify right side
    180,542x = 78,069,389,281
  5. Step 5: Solve for x
    x = 78,069,389,281/180,542
  6. Step 6: Final answer
    x = 432,416.77

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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.