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Finding the Third Proportional to 379,306 and 814,854

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Solution

The third proportional to 379,306 and 814,854 is: 1,750,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,306 : 814,854 = 814,854 : x
  2. Step 2: Convert to fraction form
    379,306/814,854 = 814,854/x
  3. Step 3: Cross multiply
    379,306x = 814,854 × 814,854
  4. Step 4: Simplify right side
    379,306x = 663,987,041,316
  5. Step 5: Solve for x
    x = 663,987,041,316/379,306
  6. Step 6: Final answer
    x = 1,750,531.34

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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.