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Finding the Third Proportional to 155,259 and 316,226

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Solution

The third proportional to 155,259 and 316,226 is: 644,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,259 : 316,226 = 316,226 : x
  2. Step 2: Convert to fraction form
    155,259/316,226 = 316,226/x
  3. Step 3: Cross multiply
    155,259x = 316,226 × 316,226
  4. Step 4: Simplify right side
    155,259x = 99,998,883,076
  5. Step 5: Solve for x
    x = 99,998,883,076/155,259
  6. Step 6: Final answer
    x = 644,077.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.