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Finding the Third Proportional to 283,486 and 426,511

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Solution

The third proportional to 283,486 and 426,511 is: 641,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,486 : 426,511 = 426,511 : x
  2. Step 2: Convert to fraction form
    283,486/426,511 = 426,511/x
  3. Step 3: Cross multiply
    283,486x = 426,511 × 426,511
  4. Step 4: Simplify right side
    283,486x = 181,911,633,121
  5. Step 5: Solve for x
    x = 181,911,633,121/283,486
  6. Step 6: Final answer
    x = 641,695.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.