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Finding the Third Proportional to 193,312 and 425,872

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Solution

The third proportional to 193,312 and 425,872 is: 938,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,312 : 425,872 = 425,872 : x
  2. Step 2: Convert to fraction form
    193,312/425,872 = 425,872/x
  3. Step 3: Cross multiply
    193,312x = 425,872 × 425,872
  4. Step 4: Simplify right side
    193,312x = 181,366,960,384
  5. Step 5: Solve for x
    x = 181,366,960,384/193,312
  6. Step 6: Final answer
    x = 938,208.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.