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Finding the Third Proportional to 338,900 and 736,820

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Solution

The third proportional to 338,900 and 736,820 is: 1,601,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,900 : 736,820 = 736,820 : x
  2. Step 2: Convert to fraction form
    338,900/736,820 = 736,820/x
  3. Step 3: Cross multiply
    338,900x = 736,820 × 736,820
  4. Step 4: Simplify right side
    338,900x = 542,903,712,400
  5. Step 5: Solve for x
    x = 542,903,712,400/338,900
  6. Step 6: Final answer
    x = 1,601,958.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.