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Finding the Third Proportional to 142,098 and 303,891

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Solution

The third proportional to 142,098 and 303,891 is: 649,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,098 : 303,891 = 303,891 : x
  2. Step 2: Convert to fraction form
    142,098/303,891 = 303,891/x
  3. Step 3: Cross multiply
    142,098x = 303,891 × 303,891
  4. Step 4: Simplify right side
    142,098x = 92,349,739,881
  5. Step 5: Solve for x
    x = 92,349,739,881/142,098
  6. Step 6: Final answer
    x = 649,901.76

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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.