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Finding the Third Proportional to 399,506 and 858,304

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Solution

The third proportional to 399,506 and 858,304 is: 1,843,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,506 : 858,304 = 858,304 : x
  2. Step 2: Convert to fraction form
    399,506/858,304 = 858,304/x
  3. Step 3: Cross multiply
    399,506x = 858,304 × 858,304
  4. Step 4: Simplify right side
    399,506x = 736,685,756,416
  5. Step 5: Solve for x
    x = 736,685,756,416/399,506
  6. Step 6: Final answer
    x = 1,843,991.72

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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.