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Finding the Third Proportional to 193,430 and 420,482

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Solution

The third proportional to 193,430 and 420,482 is: 914,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,430 : 420,482 = 420,482 : x
  2. Step 2: Convert to fraction form
    193,430/420,482 = 420,482/x
  3. Step 3: Cross multiply
    193,430x = 420,482 × 420,482
  4. Step 4: Simplify right side
    193,430x = 176,805,112,324
  5. Step 5: Solve for x
    x = 176,805,112,324/193,430
  6. Step 6: Final answer
    x = 914,052.18

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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.