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Finding the Third Proportional to 145,322 and 221,750

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Solution

The third proportional to 145,322 and 221,750 is: 338,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,322 : 221,750 = 221,750 : x
  2. Step 2: Convert to fraction form
    145,322/221,750 = 221,750/x
  3. Step 3: Cross multiply
    145,322x = 221,750 × 221,750
  4. Step 4: Simplify right side
    145,322x = 49,173,062,500
  5. Step 5: Solve for x
    x = 49,173,062,500/145,322
  6. Step 6: Final answer
    x = 338,373.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.