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Finding the Third Proportional to 128,344 and 197,528

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Solution

The third proportional to 128,344 and 197,528 is: 304,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,344 : 197,528 = 197,528 : x
  2. Step 2: Convert to fraction form
    128,344/197,528 = 197,528/x
  3. Step 3: Cross multiply
    128,344x = 197,528 × 197,528
  4. Step 4: Simplify right side
    128,344x = 39,017,310,784
  5. Step 5: Solve for x
    x = 39,017,310,784/128,344
  6. Step 6: Final answer
    x = 304,005.73

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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.