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Finding the Third Proportional to 420,164 and 612,192

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Solution

The third proportional to 420,164 and 612,192 is: 891,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,164 : 612,192 = 612,192 : x
  2. Step 2: Convert to fraction form
    420,164/612,192 = 612,192/x
  3. Step 3: Cross multiply
    420,164x = 612,192 × 612,192
  4. Step 4: Simplify right side
    420,164x = 374,779,044,864
  5. Step 5: Solve for x
    x = 374,779,044,864/420,164
  6. Step 6: Final answer
    x = 891,982.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.