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Finding the Third Proportional to 288,780 and 433,170

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Solution

The third proportional to 288,780 and 433,170 is: 649,755

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,780 : 433,170 = 433,170 : x
  2. Step 2: Convert to fraction form
    288,780/433,170 = 433,170/x
  3. Step 3: Cross multiply
    288,780x = 433,170 × 433,170
  4. Step 4: Simplify right side
    288,780x = 187,636,248,900
  5. Step 5: Solve for x
    x = 187,636,248,900/288,780
  6. Step 6: Final answer
    x = 649,755

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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.