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Finding the Third Proportional to 420,971.50 and 641,963.50

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Solution

The third proportional to 420,971.50 and 641,963.50 is: 978,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,971.50 : 641,963.50 = 641,963.50 : x
  2. Step 2: Convert to fraction form
    420,971.50/641,963.50 = 641,963.50/x
  3. Step 3: Cross multiply
    420,971.50x = 641,963.50 × 641,963.50
  4. Step 4: Simplify right side
    420,971.50x = 412,117,135,332.25
  5. Step 5: Solve for x
    x = 412,117,135,332.25/420,971.50
  6. Step 6: Final answer
    x = 978,966.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.