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Finding the Third Proportional to 279,938 and 425,091

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Solution

The third proportional to 279,938 and 425,091 is: 645,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,938 : 425,091 = 425,091 : x
  2. Step 2: Convert to fraction form
    279,938/425,091 = 425,091/x
  3. Step 3: Cross multiply
    279,938x = 425,091 × 425,091
  4. Step 4: Simplify right side
    279,938x = 180,702,358,281
  5. Step 5: Solve for x
    x = 180,702,358,281/279,938
  6. Step 6: Final answer
    x = 645,508.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.