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Finding the Third Proportional to 438,396 and 643,766

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Solution

The third proportional to 438,396 and 643,766 is: 945,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,396 : 643,766 = 643,766 : x
  2. Step 2: Convert to fraction form
    438,396/643,766 = 643,766/x
  3. Step 3: Cross multiply
    438,396x = 643,766 × 643,766
  4. Step 4: Simplify right side
    438,396x = 414,434,662,756
  5. Step 5: Solve for x
    x = 414,434,662,756/438,396
  6. Step 6: Final answer
    x = 945,343.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.