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Finding the Third Proportional to 397,510.50 and 869,278.50

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Solution

The third proportional to 397,510.50 and 869,278.50 is: 1,900,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,510.50 : 869,278.50 = 869,278.50 : x
  2. Step 2: Convert to fraction form
    397,510.50/869,278.50 = 869,278.50/x
  3. Step 3: Cross multiply
    397,510.50x = 869,278.50 × 869,278.50
  4. Step 4: Simplify right side
    397,510.50x = 755,645,110,562.25
  5. Step 5: Solve for x
    x = 755,645,110,562.25/397,510.50
  6. Step 6: Final answer
    x = 1,900,943.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.