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Finding the Third Proportional to 288,237 and 433,278

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Solution

The third proportional to 288,237 and 433,278 is: 651,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,237 : 433,278 = 433,278 : x
  2. Step 2: Convert to fraction form
    288,237/433,278 = 433,278/x
  3. Step 3: Cross multiply
    288,237x = 433,278 × 433,278
  4. Step 4: Simplify right side
    288,237x = 187,729,825,284
  5. Step 5: Solve for x
    x = 187,729,825,284/288,237
  6. Step 6: Final answer
    x = 651,303.70

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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.