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Finding the Third Proportional to 408,258 and 875,538

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Solution

The third proportional to 408,258 and 875,538 is: 1,877,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,258 : 875,538 = 875,538 : x
  2. Step 2: Convert to fraction form
    408,258/875,538 = 875,538/x
  3. Step 3: Cross multiply
    408,258x = 875,538 × 875,538
  4. Step 4: Simplify right side
    408,258x = 766,566,789,444
  5. Step 5: Solve for x
    x = 766,566,789,444/408,258
  6. Step 6: Final answer
    x = 1,877,652.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.