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Finding the Third Proportional to 298,974 and 402,780

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Solution

The third proportional to 298,974 and 402,780 is: 542,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,974 : 402,780 = 402,780 : x
  2. Step 2: Convert to fraction form
    298,974/402,780 = 402,780/x
  3. Step 3: Cross multiply
    298,974x = 402,780 × 402,780
  4. Step 4: Simplify right side
    298,974x = 162,231,728,400
  5. Step 5: Solve for x
    x = 162,231,728,400/298,974
  6. Step 6: Final answer
    x = 542,628.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.