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Finding the Third Proportional to 199,793 and 425,013

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Solution

The third proportional to 199,793 and 425,013 is: 904,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,793 : 425,013 = 425,013 : x
  2. Step 2: Convert to fraction form
    199,793/425,013 = 425,013/x
  3. Step 3: Cross multiply
    199,793x = 425,013 × 425,013
  4. Step 4: Simplify right side
    199,793x = 180,636,050,169
  5. Step 5: Solve for x
    x = 180,636,050,169/199,793
  6. Step 6: Final answer
    x = 904,116.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.