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Finding the Third Proportional to 280,558 and 435,311

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Solution

The third proportional to 280,558 and 435,311 is: 675,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,558 : 435,311 = 435,311 : x
  2. Step 2: Convert to fraction form
    280,558/435,311 = 435,311/x
  3. Step 3: Cross multiply
    280,558x = 435,311 × 435,311
  4. Step 4: Simplify right side
    280,558x = 189,495,666,721
  5. Step 5: Solve for x
    x = 189,495,666,721/280,558
  6. Step 6: Final answer
    x = 675,424.21

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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.