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Finding the Third Proportional to 349,586 and 557,680

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Solution

The third proportional to 349,586 and 557,680 is: 889,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,586 : 557,680 = 557,680 : x
  2. Step 2: Convert to fraction form
    349,586/557,680 = 557,680/x
  3. Step 3: Cross multiply
    349,586x = 557,680 × 557,680
  4. Step 4: Simplify right side
    349,586x = 311,006,982,400
  5. Step 5: Solve for x
    x = 311,006,982,400/349,586
  6. Step 6: Final answer
    x = 889,643.70

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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.