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Finding the Third Proportional to 145,800 and 316,864

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Solution

The third proportional to 145,800 and 316,864 is: 688,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,800 : 316,864 = 316,864 : x
  2. Step 2: Convert to fraction form
    145,800/316,864 = 316,864/x
  3. Step 3: Cross multiply
    145,800x = 316,864 × 316,864
  4. Step 4: Simplify right side
    145,800x = 100,402,794,496
  5. Step 5: Solve for x
    x = 100,402,794,496/145,800
  6. Step 6: Final answer
    x = 688,633.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.