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Finding the Third Proportional to 180,386 and 280,398

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Solution

The third proportional to 180,386 and 280,398 is: 435,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,386 : 280,398 = 280,398 : x
  2. Step 2: Convert to fraction form
    180,386/280,398 = 280,398/x
  3. Step 3: Cross multiply
    180,386x = 280,398 × 280,398
  4. Step 4: Simplify right side
    180,386x = 78,623,038,404
  5. Step 5: Solve for x
    x = 78,623,038,404/180,386
  6. Step 6: Final answer
    x = 435,859.98

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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.