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Finding the Third Proportional to 142,972 and 305,576

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Solution

The third proportional to 142,972 and 305,576 is: 653,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,972 : 305,576 = 305,576 : x
  2. Step 2: Convert to fraction form
    142,972/305,576 = 305,576/x
  3. Step 3: Cross multiply
    142,972x = 305,576 × 305,576
  4. Step 4: Simplify right side
    142,972x = 93,376,691,776
  5. Step 5: Solve for x
    x = 93,376,691,776/142,972
  6. Step 6: Final answer
    x = 653,111.74

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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.