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Finding the Third Proportional to 153,581 and 319,423

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Solution

The third proportional to 153,581 and 319,423 is: 664,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,581 : 319,423 = 319,423 : x
  2. Step 2: Convert to fraction form
    153,581/319,423 = 319,423/x
  3. Step 3: Cross multiply
    153,581x = 319,423 × 319,423
  4. Step 4: Simplify right side
    153,581x = 102,031,052,929
  5. Step 5: Solve for x
    x = 102,031,052,929/153,581
  6. Step 6: Final answer
    x = 664,346.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.