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Finding the Third Proportional to 193,748 and 418,078

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Solution

The third proportional to 193,748 and 418,078 is: 902,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,748 : 418,078 = 418,078 : x
  2. Step 2: Convert to fraction form
    193,748/418,078 = 418,078/x
  3. Step 3: Cross multiply
    193,748x = 418,078 × 418,078
  4. Step 4: Simplify right side
    193,748x = 174,789,214,084
  5. Step 5: Solve for x
    x = 174,789,214,084/193,748
  6. Step 6: Final answer
    x = 902,147.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.