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Finding the Third Proportional to 208,822 and 316,149

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Solution

The third proportional to 208,822 and 316,149 is: 478,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,822 : 316,149 = 316,149 : x
  2. Step 2: Convert to fraction form
    208,822/316,149 = 316,149/x
  3. Step 3: Cross multiply
    208,822x = 316,149 × 316,149
  4. Step 4: Simplify right side
    208,822x = 99,950,190,201
  5. Step 5: Solve for x
    x = 99,950,190,201/208,822
  6. Step 6: Final answer
    x = 478,638.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.