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Finding the Third Proportional to 296,122.50 and 433,129.50

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Solution

The third proportional to 296,122.50 and 433,129.50 is: 633,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,122.50 : 433,129.50 = 433,129.50 : x
  2. Step 2: Convert to fraction form
    296,122.50/433,129.50 = 433,129.50/x
  3. Step 3: Cross multiply
    296,122.50x = 433,129.50 × 433,129.50
  4. Step 4: Simplify right side
    296,122.50x = 187,601,163,770.25
  5. Step 5: Solve for x
    x = 187,601,163,770.25/296,122.50
  6. Step 6: Final answer
    x = 633,525.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.