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Finding the Third Proportional to 146,020 and 316,825

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Solution

The third proportional to 146,020 and 316,825 is: 687,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,020 : 316,825 = 316,825 : x
  2. Step 2: Convert to fraction form
    146,020/316,825 = 316,825/x
  3. Step 3: Cross multiply
    146,020x = 316,825 × 316,825
  4. Step 4: Simplify right side
    146,020x = 100,378,080,625
  5. Step 5: Solve for x
    x = 100,378,080,625/146,020
  6. Step 6: Final answer
    x = 687,426.93

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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.