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Finding the Third Proportional to 142,448 and 221,444

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Solution

The third proportional to 142,448 and 221,444 is: 344,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,448 : 221,444 = 221,444 : x
  2. Step 2: Convert to fraction form
    142,448/221,444 = 221,444/x
  3. Step 3: Cross multiply
    142,448x = 221,444 × 221,444
  4. Step 4: Simplify right side
    142,448x = 49,037,445,136
  5. Step 5: Solve for x
    x = 49,037,445,136/142,448
  6. Step 6: Final answer
    x = 344,248.04

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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.