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Finding the Third Proportional to 193,138 and 418,428

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Solution

The third proportional to 193,138 and 418,428 is: 906,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,138 : 418,428 = 418,428 : x
  2. Step 2: Convert to fraction form
    193,138/418,428 = 418,428/x
  3. Step 3: Cross multiply
    193,138x = 418,428 × 418,428
  4. Step 4: Simplify right side
    193,138x = 175,081,991,184
  5. Step 5: Solve for x
    x = 175,081,991,184/193,138
  6. Step 6: Final answer
    x = 906,512.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.