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Finding the Third Proportional to 280,446 and 435,072

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Solution

The third proportional to 280,446 and 435,072 is: 674,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,446 : 435,072 = 435,072 : x
  2. Step 2: Convert to fraction form
    280,446/435,072 = 435,072/x
  3. Step 3: Cross multiply
    280,446x = 435,072 × 435,072
  4. Step 4: Simplify right side
    280,446x = 189,287,645,184
  5. Step 5: Solve for x
    x = 189,287,645,184/280,446
  6. Step 6: Final answer
    x = 674,952.20

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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.