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Finding the Third Proportional to 206,633 and 316,071

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Solution

The third proportional to 206,633 and 316,071 is: 483,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,633 : 316,071 = 316,071 : x
  2. Step 2: Convert to fraction form
    206,633/316,071 = 316,071/x
  3. Step 3: Cross multiply
    206,633x = 316,071 × 316,071
  4. Step 4: Simplify right side
    206,633x = 99,900,877,041
  5. Step 5: Solve for x
    x = 99,900,877,041/206,633
  6. Step 6: Final answer
    x = 483,470.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.