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Finding the Third Proportional to 376,921.69 and 812,888.16

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Solution

The third proportional to 376,921.69 and 812,888.16 is: 1,753,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,921.69 : 812,888.16 = 812,888.16 : x
  2. Step 2: Convert to fraction form
    376,921.69/812,888.16 = 812,888.16/x
  3. Step 3: Cross multiply
    376,921.69x = 812,888.16 × 812,888.16
  4. Step 4: Simplify right side
    376,921.69x = 660,787,154,571.52
  5. Step 5: Solve for x
    x = 660,787,154,571.52/376,921.69
  6. Step 6: Final answer
    x = 1,753,115.24

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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.