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Finding the Third Proportional to 580,770 and 871,398

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Solution

The third proportional to 580,770 and 871,398 is: 1,307,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,770 : 871,398 = 871,398 : x
  2. Step 2: Convert to fraction form
    580,770/871,398 = 871,398/x
  3. Step 3: Cross multiply
    580,770x = 871,398 × 871,398
  4. Step 4: Simplify right side
    580,770x = 759,334,474,404
  5. Step 5: Solve for x
    x = 759,334,474,404/580,770
  6. Step 6: Final answer
    x = 1,307,461.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.