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Finding the Third Proportional to 154,449 and 316,423

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Solution

The third proportional to 154,449 and 316,423 is: 648,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,449 : 316,423 = 316,423 : x
  2. Step 2: Convert to fraction form
    154,449/316,423 = 316,423/x
  3. Step 3: Cross multiply
    154,449x = 316,423 × 316,423
  4. Step 4: Simplify right side
    154,449x = 100,123,514,929
  5. Step 5: Solve for x
    x = 100,123,514,929/154,449
  6. Step 6: Final answer
    x = 648,262.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.