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Finding the Third Proportional to 415,872 and 881,352

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Solution

The third proportional to 415,872 and 881,352 is: 1,867,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,872 : 881,352 = 881,352 : x
  2. Step 2: Convert to fraction form
    415,872/881,352 = 881,352/x
  3. Step 3: Cross multiply
    415,872x = 881,352 × 881,352
  4. Step 4: Simplify right side
    415,872x = 776,781,347,904
  5. Step 5: Solve for x
    x = 776,781,347,904/415,872
  6. Step 6: Final answer
    x = 1,867,837.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.