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Finding the Third Proportional to 415,818 and 912,830

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Solution

The third proportional to 415,818 and 912,830 is: 2,003,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,818 : 912,830 = 912,830 : x
  2. Step 2: Convert to fraction form
    415,818/912,830 = 912,830/x
  3. Step 3: Cross multiply
    415,818x = 912,830 × 912,830
  4. Step 4: Simplify right side
    415,818x = 833,258,608,900
  5. Step 5: Solve for x
    x = 833,258,608,900/415,818
  6. Step 6: Final answer
    x = 2,003,902.21

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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.