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Finding the Third Proportional to 289,294 and 433,657

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Solution

The third proportional to 289,294 and 433,657 is: 650,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,294 : 433,657 = 433,657 : x
  2. Step 2: Convert to fraction form
    289,294/433,657 = 433,657/x
  3. Step 3: Cross multiply
    289,294x = 433,657 × 433,657
  4. Step 4: Simplify right side
    289,294x = 188,058,393,649
  5. Step 5: Solve for x
    x = 188,058,393,649/289,294
  6. Step 6: Final answer
    x = 650,059.78

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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.