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Finding the Third Proportional to 490,941 and 666,427.50

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Solution

The third proportional to 490,941 and 666,427.50 is: 904,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,941 : 666,427.50 = 666,427.50 : x
  2. Step 2: Convert to fraction form
    490,941/666,427.50 = 666,427.50/x
  3. Step 3: Cross multiply
    490,941x = 666,427.50 × 666,427.50
  4. Step 4: Simplify right side
    490,941x = 444,125,612,756.25
  5. Step 5: Solve for x
    x = 444,125,612,756.25/490,941
  6. Step 6: Final answer
    x = 904,641.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.