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Finding the Third Proportional to 142,920 and 305,523

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Solution

The third proportional to 142,920 and 305,523 is: 653,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,920 : 305,523 = 305,523 : x
  2. Step 2: Convert to fraction form
    142,920/305,523 = 305,523/x
  3. Step 3: Cross multiply
    142,920x = 305,523 × 305,523
  4. Step 4: Simplify right side
    142,920x = 93,344,303,529
  5. Step 5: Solve for x
    x = 93,344,303,529/142,920
  6. Step 6: Final answer
    x = 653,122.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.