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Finding the Third Proportional to 280,272 and 430,776

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Solution

The third proportional to 280,272 and 430,776 is: 662,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,272 : 430,776 = 430,776 : x
  2. Step 2: Convert to fraction form
    280,272/430,776 = 430,776/x
  3. Step 3: Cross multiply
    280,272x = 430,776 × 430,776
  4. Step 4: Simplify right side
    280,272x = 185,567,962,176
  5. Step 5: Solve for x
    x = 185,567,962,176/280,272
  6. Step 6: Final answer
    x = 662,099.54

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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.