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Finding the Third Proportional to 420,964 and 641,952

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Solution

The third proportional to 420,964 and 641,952 is: 978,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,964 : 641,952 = 641,952 : x
  2. Step 2: Convert to fraction form
    420,964/641,952 = 641,952/x
  3. Step 3: Cross multiply
    420,964x = 641,952 × 641,952
  4. Step 4: Simplify right side
    420,964x = 412,102,370,304
  5. Step 5: Solve for x
    x = 412,102,370,304/420,964
  6. Step 6: Final answer
    x = 978,949.20

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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.