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Finding the Third Proportional to 180,310 and 280,294

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Solution

The third proportional to 180,310 and 280,294 is: 435,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,310 : 280,294 = 280,294 : x
  2. Step 2: Convert to fraction form
    180,310/280,294 = 280,294/x
  3. Step 3: Cross multiply
    180,310x = 280,294 × 280,294
  4. Step 4: Simplify right side
    180,310x = 78,564,726,436
  5. Step 5: Solve for x
    x = 78,564,726,436/180,310
  6. Step 6: Final answer
    x = 435,720.30

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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.