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Finding the Third Proportional to 575,421 and 871,128

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Solution

The third proportional to 575,421 and 871,128 is: 1,318,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,421 : 871,128 = 871,128 : x
  2. Step 2: Convert to fraction form
    575,421/871,128 = 871,128/x
  3. Step 3: Cross multiply
    575,421x = 871,128 × 871,128
  4. Step 4: Simplify right side
    575,421x = 758,863,992,384
  5. Step 5: Solve for x
    x = 758,863,992,384/575,421
  6. Step 6: Final answer
    x = 1,318,797.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.