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Finding the Third Proportional to 421,768.50 and 653,259

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Solution

The third proportional to 421,768.50 and 653,259 is: 1,011,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,768.50 : 653,259 = 653,259 : x
  2. Step 2: Convert to fraction form
    421,768.50/653,259 = 653,259/x
  3. Step 3: Cross multiply
    421,768.50x = 653,259 × 653,259
  4. Step 4: Simplify right side
    421,768.50x = 426,747,321,081
  5. Step 5: Solve for x
    x = 426,747,321,081/421,768.50
  6. Step 6: Final answer
    x = 1,011,804.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.