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Finding the Third Proportional to 143,454 and 221,352

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Solution

The third proportional to 143,454 and 221,352 is: 341,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,454 : 221,352 = 221,352 : x
  2. Step 2: Convert to fraction form
    143,454/221,352 = 221,352/x
  3. Step 3: Cross multiply
    143,454x = 221,352 × 221,352
  4. Step 4: Simplify right side
    143,454x = 48,996,707,904
  5. Step 5: Solve for x
    x = 48,996,707,904/143,454
  6. Step 6: Final answer
    x = 341,549.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.