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Finding the Third Proportional to 128,428 and 197,643

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Solution

The third proportional to 128,428 and 197,643 is: 304,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,428 : 197,643 = 197,643 : x
  2. Step 2: Convert to fraction form
    128,428/197,643 = 197,643/x
  3. Step 3: Cross multiply
    128,428x = 197,643 × 197,643
  4. Step 4: Simplify right side
    128,428x = 39,062,755,449
  5. Step 5: Solve for x
    x = 39,062,755,449/128,428
  6. Step 6: Final answer
    x = 304,160.74

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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.