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Finding the Third Proportional to 376,780 and 812,596

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Solution

The third proportional to 376,780 and 812,596 is: 1,752,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,780 : 812,596 = 812,596 : x
  2. Step 2: Convert to fraction form
    376,780/812,596 = 812,596/x
  3. Step 3: Cross multiply
    376,780x = 812,596 × 812,596
  4. Step 4: Simplify right side
    376,780x = 660,312,259,216
  5. Step 5: Solve for x
    x = 660,312,259,216/376,780
  6. Step 6: Final answer
    x = 1,752,514.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.