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Finding the Third Proportional to 142,948 and 305,569

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Solution

The third proportional to 142,948 and 305,569 is: 653,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,948 : 305,569 = 305,569 : x
  2. Step 2: Convert to fraction form
    142,948/305,569 = 305,569/x
  3. Step 3: Cross multiply
    142,948x = 305,569 × 305,569
  4. Step 4: Simplify right side
    142,948x = 93,372,413,761
  5. Step 5: Solve for x
    x = 93,372,413,761/142,948
  6. Step 6: Final answer
    x = 653,191.47

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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.