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Finding the Third Proportional to 575,429 and 871,140

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Solution

The third proportional to 575,429 and 871,140 is: 1,318,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,429 : 871,140 = 871,140 : x
  2. Step 2: Convert to fraction form
    575,429/871,140 = 871,140/x
  3. Step 3: Cross multiply
    575,429x = 871,140 × 871,140
  4. Step 4: Simplify right side
    575,429x = 758,884,899,600
  5. Step 5: Solve for x
    x = 758,884,899,600/575,429
  6. Step 6: Final answer
    x = 1,318,815.87

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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.