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Finding the Third Proportional to 288,207 and 433,238

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Solution

The third proportional to 288,207 and 433,238 is: 651,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,207 : 433,238 = 433,238 : x
  2. Step 2: Convert to fraction form
    288,207/433,238 = 433,238/x
  3. Step 3: Cross multiply
    288,207x = 433,238 × 433,238
  4. Step 4: Simplify right side
    288,207x = 187,695,164,644
  5. Step 5: Solve for x
    x = 187,695,164,644/288,207
  6. Step 6: Final answer
    x = 651,251.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.