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Finding the Third Proportional to 209,988 and 316,062

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Solution

The third proportional to 209,988 and 316,062 is: 475,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,988 : 316,062 = 316,062 : x
  2. Step 2: Convert to fraction form
    209,988/316,062 = 316,062/x
  3. Step 3: Cross multiply
    209,988x = 316,062 × 316,062
  4. Step 4: Simplify right side
    209,988x = 99,895,187,844
  5. Step 5: Solve for x
    x = 99,895,187,844/209,988
  6. Step 6: Final answer
    x = 475,718.55

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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.