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Finding the Third Proportional to 142,584 and 221,754

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Solution

The third proportional to 142,584 and 221,754 is: 344,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,584 : 221,754 = 221,754 : x
  2. Step 2: Convert to fraction form
    142,584/221,754 = 221,754/x
  3. Step 3: Cross multiply
    142,584x = 221,754 × 221,754
  4. Step 4: Simplify right side
    142,584x = 49,174,836,516
  5. Step 5: Solve for x
    x = 49,174,836,516/142,584
  6. Step 6: Final answer
    x = 344,883.27

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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.