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Finding the Third Proportional to 288,866 and 432,507

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Solution

The third proportional to 288,866 and 432,507 is: 647,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,866 : 432,507 = 432,507 : x
  2. Step 2: Convert to fraction form
    288,866/432,507 = 432,507/x
  3. Step 3: Cross multiply
    288,866x = 432,507 × 432,507
  4. Step 4: Simplify right side
    288,866x = 187,062,305,049
  5. Step 5: Solve for x
    x = 187,062,305,049/288,866
  6. Step 6: Final answer
    x = 647,574.67

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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.