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Finding the Third Proportional to 315,269 and 442,386

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Solution

The third proportional to 315,269 and 442,386 is: 620,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,269 : 442,386 = 442,386 : x
  2. Step 2: Convert to fraction form
    315,269/442,386 = 442,386/x
  3. Step 3: Cross multiply
    315,269x = 442,386 × 442,386
  4. Step 4: Simplify right side
    315,269x = 195,705,372,996
  5. Step 5: Solve for x
    x = 195,705,372,996/315,269
  6. Step 6: Final answer
    x = 620,756.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.