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Finding the Third Proportional to 289,951.50 and 433,577.25

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Solution

The third proportional to 289,951.50 and 433,577.25 is: 648,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,951.50 : 433,577.25 = 433,577.25 : x
  2. Step 2: Convert to fraction form
    289,951.50/433,577.25 = 433,577.25/x
  3. Step 3: Cross multiply
    289,951.50x = 433,577.25 × 433,577.25
  4. Step 4: Simplify right side
    289,951.50x = 187,989,231,717.56
  5. Step 5: Solve for x
    x = 187,989,231,717.56/289,951.50
  6. Step 6: Final answer
    x = 648,347.16

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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.