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Finding the Third Proportional to 128,496 and 197,754

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Solution

The third proportional to 128,496 and 197,754 is: 304,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,496 : 197,754 = 197,754 : x
  2. Step 2: Convert to fraction form
    128,496/197,754 = 197,754/x
  3. Step 3: Cross multiply
    128,496x = 197,754 × 197,754
  4. Step 4: Simplify right side
    128,496x = 39,106,644,516
  5. Step 5: Solve for x
    x = 39,106,644,516/128,496
  6. Step 6: Final answer
    x = 304,341.34

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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.