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Finding the Third Proportional to 279,875.67 and 419,374.13

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Solution

The third proportional to 279,875.67 and 419,374.13 is: 628,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,875.67 : 419,374.13 = 419,374.13 : x
  2. Step 2: Convert to fraction form
    279,875.67/419,374.13 = 419,374.13/x
  3. Step 3: Cross multiply
    279,875.67x = 419,374.13 × 419,374.13
  4. Step 4: Simplify right side
    279,875.67x = 175,874,656,719.52
  5. Step 5: Solve for x
    x = 175,874,656,719.52/279,875.67
  6. Step 6: Final answer
    x = 628,402.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.