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Finding the Third Proportional to 180,384 and 280,402

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Solution

The third proportional to 180,384 and 280,402 is: 435,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,384 : 280,402 = 280,402 : x
  2. Step 2: Convert to fraction form
    180,384/280,402 = 280,402/x
  3. Step 3: Cross multiply
    180,384x = 280,402 × 280,402
  4. Step 4: Simplify right side
    180,384x = 78,625,281,604
  5. Step 5: Solve for x
    x = 78,625,281,604/180,384
  6. Step 6: Final answer
    x = 435,877.25

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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.