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Finding the Third Proportional to 377,965.13 and 822,359.81

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Solution

The third proportional to 377,965.13 and 822,359.81 is: 1,789,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,965.13 : 822,359.81 = 822,359.81 : x
  2. Step 2: Convert to fraction form
    377,965.13/822,359.81 = 822,359.81/x
  3. Step 3: Cross multiply
    377,965.13x = 822,359.81 × 822,359.81
  4. Step 4: Simplify right side
    377,965.13x = 676,275,661,215.04
  5. Step 5: Solve for x
    x = 676,275,661,215.04/377,965.13
  6. Step 6: Final answer
    x = 1,789,254.13

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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.