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Finding the Third Proportional to 407,818 and 898,580

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Solution

The third proportional to 407,818 and 898,580 is: 1,979,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,818 : 898,580 = 898,580 : x
  2. Step 2: Convert to fraction form
    407,818/898,580 = 898,580/x
  3. Step 3: Cross multiply
    407,818x = 898,580 × 898,580
  4. Step 4: Simplify right side
    407,818x = 807,446,016,400
  5. Step 5: Solve for x
    x = 807,446,016,400/407,818
  6. Step 6: Final answer
    x = 1,979,917.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.