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Finding the Third Proportional to 301,770 and 422,902.13

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Solution

The third proportional to 301,770 and 422,902.13 is: 592,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,770 : 422,902.13 = 422,902.13 : x
  2. Step 2: Convert to fraction form
    301,770/422,902.13 = 422,902.13/x
  3. Step 3: Cross multiply
    301,770x = 422,902.13 × 422,902.13
  4. Step 4: Simplify right side
    301,770x = 178,846,207,329.52
  5. Step 5: Solve for x
    x = 178,846,207,329.52/301,770
  6. Step 6: Final answer
    x = 592,657.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.