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Finding the Third Proportional to 142,758 and 221,346

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Solution

The third proportional to 142,758 and 221,346 is: 343,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,758 : 221,346 = 221,346 : x
  2. Step 2: Convert to fraction form
    142,758/221,346 = 221,346/x
  3. Step 3: Cross multiply
    142,758x = 221,346 × 221,346
  4. Step 4: Simplify right side
    142,758x = 48,994,051,716
  5. Step 5: Solve for x
    x = 48,994,051,716/142,758
  6. Step 6: Final answer
    x = 343,196.54

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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.