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Finding the Third Proportional to 421,445 and 912,874

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Solution

The third proportional to 421,445 and 912,874 is: 1,977,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,445 : 912,874 = 912,874 : x
  2. Step 2: Convert to fraction form
    421,445/912,874 = 912,874/x
  3. Step 3: Cross multiply
    421,445x = 912,874 × 912,874
  4. Step 4: Simplify right side
    421,445x = 833,338,939,876
  5. Step 5: Solve for x
    x = 833,338,939,876/421,445
  6. Step 6: Final answer
    x = 1,977,337.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.