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Finding the Third Proportional to 421,664.25 and 652,200.75

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Solution

The third proportional to 421,664.25 and 652,200.75 is: 1,008,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,664.25 : 652,200.75 = 652,200.75 : x
  2. Step 2: Convert to fraction form
    421,664.25/652,200.75 = 652,200.75/x
  3. Step 3: Cross multiply
    421,664.25x = 652,200.75 × 652,200.75
  4. Step 4: Simplify right side
    421,664.25x = 425,365,818,300.56
  5. Step 5: Solve for x
    x = 425,365,818,300.56/421,664.25
  6. Step 6: Final answer
    x = 1,008,778.47

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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.