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Finding the Third Proportional to 153,438 and 244,254

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Solution

The third proportional to 153,438 and 244,254 is: 388,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,438 : 244,254 = 244,254 : x
  2. Step 2: Convert to fraction form
    153,438/244,254 = 244,254/x
  3. Step 3: Cross multiply
    153,438x = 244,254 × 244,254
  4. Step 4: Simplify right side
    153,438x = 59,660,016,516
  5. Step 5: Solve for x
    x = 59,660,016,516/153,438
  6. Step 6: Final answer
    x = 388,821.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.