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Finding the Third Proportional to 278,726 and 420,701

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Solution

The third proportional to 278,726 and 420,701 is: 634,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,726 : 420,701 = 420,701 : x
  2. Step 2: Convert to fraction form
    278,726/420,701 = 420,701/x
  3. Step 3: Cross multiply
    278,726x = 420,701 × 420,701
  4. Step 4: Simplify right side
    278,726x = 176,989,331,401
  5. Step 5: Solve for x
    x = 176,989,331,401/278,726
  6. Step 6: Final answer
    x = 634,993.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.