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Finding the Third Proportional to 416,456 and 912,400

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Solution

The third proportional to 416,456 and 912,400 is: 1,998,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,456 : 912,400 = 912,400 : x
  2. Step 2: Convert to fraction form
    416,456/912,400 = 912,400/x
  3. Step 3: Cross multiply
    416,456x = 912,400 × 912,400
  4. Step 4: Simplify right side
    416,456x = 832,473,760,000
  5. Step 5: Solve for x
    x = 832,473,760,000/416,456
  6. Step 6: Final answer
    x = 1,998,947.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.