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Finding the Third Proportional to 203,700 and 438,609

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Solution

The third proportional to 203,700 and 438,609 is: 944,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,700 : 438,609 = 438,609 : x
  2. Step 2: Convert to fraction form
    203,700/438,609 = 438,609/x
  3. Step 3: Cross multiply
    203,700x = 438,609 × 438,609
  4. Step 4: Simplify right side
    203,700x = 192,377,854,881
  5. Step 5: Solve for x
    x = 192,377,854,881/203,700
  6. Step 6: Final answer
    x = 944,417.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.