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Finding the Third Proportional to 420,970.50 and 641,962.13

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Solution

The third proportional to 420,970.50 and 641,962.13 is: 978,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,970.50 : 641,962.13 = 641,962.13 : x
  2. Step 2: Convert to fraction form
    420,970.50/641,962.13 = 641,962.13/x
  3. Step 3: Cross multiply
    420,970.50x = 641,962.13 × 641,962.13
  4. Step 4: Simplify right side
    420,970.50x = 412,115,369,934.52
  5. Step 5: Solve for x
    x = 412,115,369,934.52/420,970.50
  6. Step 6: Final answer
    x = 978,964.96

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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.