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Finding the Third Proportional to 142,592 and 221,772

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Solution

The third proportional to 142,592 and 221,772 is: 344,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,592 : 221,772 = 221,772 : x
  2. Step 2: Convert to fraction form
    142,592/221,772 = 221,772/x
  3. Step 3: Cross multiply
    142,592x = 221,772 × 221,772
  4. Step 4: Simplify right side
    142,592x = 49,182,819,984
  5. Step 5: Solve for x
    x = 49,182,819,984/142,592
  6. Step 6: Final answer
    x = 344,919.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.