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Finding the Third Proportional to 438,226 and 660,219

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Solution

The third proportional to 438,226 and 660,219 is: 994,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,226 : 660,219 = 660,219 : x
  2. Step 2: Convert to fraction form
    438,226/660,219 = 660,219/x
  3. Step 3: Cross multiply
    438,226x = 660,219 × 660,219
  4. Step 4: Simplify right side
    438,226x = 435,889,127,961
  5. Step 5: Solve for x
    x = 435,889,127,961/438,226
  6. Step 6: Final answer
    x = 994,667.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.