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Finding the Third Proportional to 438,232 and 660,228

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Solution

The third proportional to 438,232 and 660,228 is: 994,680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,232 : 660,228 = 660,228 : x
  2. Step 2: Convert to fraction form
    438,232/660,228 = 660,228/x
  3. Step 3: Cross multiply
    438,232x = 660,228 × 660,228
  4. Step 4: Simplify right side
    438,232x = 435,901,011,984
  5. Step 5: Solve for x
    x = 435,901,011,984/438,232
  6. Step 6: Final answer
    x = 994,680.93

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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.