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Finding the Third Proportional to 359,700 and 782,868

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Solution

The third proportional to 359,700 and 782,868 is: 1,703,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,700 : 782,868 = 782,868 : x
  2. Step 2: Convert to fraction form
    359,700/782,868 = 782,868/x
  3. Step 3: Cross multiply
    359,700x = 782,868 × 782,868
  4. Step 4: Simplify right side
    359,700x = 612,882,305,424
  5. Step 5: Solve for x
    x = 612,882,305,424/359,700
  6. Step 6: Final answer
    x = 1,703,870.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.