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Finding the Third Proportional to 327,988 and 706,312

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Solution

The third proportional to 327,988 and 706,312 is: 1,521,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,988 : 706,312 = 706,312 : x
  2. Step 2: Convert to fraction form
    327,988/706,312 = 706,312/x
  3. Step 3: Cross multiply
    327,988x = 706,312 × 706,312
  4. Step 4: Simplify right side
    327,988x = 498,876,641,344
  5. Step 5: Solve for x
    x = 498,876,641,344/327,988
  6. Step 6: Final answer
    x = 1,521,021.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.