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Finding the Third Proportional to 142,454 and 221,457

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Solution

The third proportional to 142,454 and 221,457 is: 344,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,454 : 221,457 = 221,457 : x
  2. Step 2: Convert to fraction form
    142,454/221,457 = 221,457/x
  3. Step 3: Cross multiply
    142,454x = 221,457 × 221,457
  4. Step 4: Simplify right side
    142,454x = 49,043,202,849
  5. Step 5: Solve for x
    x = 49,043,202,849/142,454
  6. Step 6: Final answer
    x = 344,273.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.