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Finding the Third Proportional to 391,988 and 858,664

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Solution

The third proportional to 391,988 and 858,664 is: 1,880,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,988 : 858,664 = 858,664 : x
  2. Step 2: Convert to fraction form
    391,988/858,664 = 858,664/x
  3. Step 3: Cross multiply
    391,988x = 858,664 × 858,664
  4. Step 4: Simplify right side
    391,988x = 737,303,864,896
  5. Step 5: Solve for x
    x = 737,303,864,896/391,988
  6. Step 6: Final answer
    x = 1,880,934.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.