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Finding the Third Proportional to 421,035.75 and 464,708.25

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Solution

The third proportional to 421,035.75 and 464,708.25 is: 512,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,035.75 : 464,708.25 = 464,708.25 : x
  2. Step 2: Convert to fraction form
    421,035.75/464,708.25 = 464,708.25/x
  3. Step 3: Cross multiply
    421,035.75x = 464,708.25 × 464,708.25
  4. Step 4: Simplify right side
    421,035.75x = 215,953,757,618.06
  5. Step 5: Solve for x
    x = 215,953,757,618.06/421,035.75
  6. Step 6: Final answer
    x = 512,910.74

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.