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Finding the Third Proportional to 421,012.88 and 644,148.75

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Solution

The third proportional to 421,012.88 and 644,148.75 is: 985,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,012.88 : 644,148.75 = 644,148.75 : x
  2. Step 2: Convert to fraction form
    421,012.88/644,148.75 = 644,148.75/x
  3. Step 3: Cross multiply
    421,012.88x = 644,148.75 × 644,148.75
  4. Step 4: Simplify right side
    421,012.88x = 414,927,612,126.56
  5. Step 5: Solve for x
    x = 414,927,612,126.56/421,012.88
  6. Step 6: Final answer
    x = 985,546.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.