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Finding the Third Proportional to 140,796 and 286,481

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Solution

The third proportional to 140,796 and 286,481 is: 582,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,796 : 286,481 = 286,481 : x
  2. Step 2: Convert to fraction form
    140,796/286,481 = 286,481/x
  3. Step 3: Cross multiply
    140,796x = 286,481 × 286,481
  4. Step 4: Simplify right side
    140,796x = 82,071,363,361
  5. Step 5: Solve for x
    x = 82,071,363,361/140,796
  6. Step 6: Final answer
    x = 582,909.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.