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Finding the Third Proportional to 280,084 and 430,508

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Solution

The third proportional to 280,084 and 430,508 is: 661,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,084 : 430,508 = 430,508 : x
  2. Step 2: Convert to fraction form
    280,084/430,508 = 430,508/x
  3. Step 3: Cross multiply
    280,084x = 430,508 × 430,508
  4. Step 4: Simplify right side
    280,084x = 185,337,138,064
  5. Step 5: Solve for x
    x = 185,337,138,064/280,084
  6. Step 6: Final answer
    x = 661,719.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.