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Finding the Third Proportional to 349,170 and 557,883

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Solution

The third proportional to 349,170 and 557,883 is: 891,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,170 : 557,883 = 557,883 : x
  2. Step 2: Convert to fraction form
    349,170/557,883 = 557,883/x
  3. Step 3: Cross multiply
    349,170x = 557,883 × 557,883
  4. Step 4: Simplify right side
    349,170x = 311,233,441,689
  5. Step 5: Solve for x
    x = 311,233,441,689/349,170
  6. Step 6: Final answer
    x = 891,352.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.