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Finding the Third Proportional to 193,359 and 418,972

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Solution

The third proportional to 193,359 and 418,972 is: 907,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,359 : 418,972 = 418,972 : x
  2. Step 2: Convert to fraction form
    193,359/418,972 = 418,972/x
  3. Step 3: Cross multiply
    193,359x = 418,972 × 418,972
  4. Step 4: Simplify right side
    193,359x = 175,537,536,784
  5. Step 5: Solve for x
    x = 175,537,536,784/193,359
  6. Step 6: Final answer
    x = 907,832.25

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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.