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Finding the Third Proportional to 615,443 and 903,195

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Solution

The third proportional to 615,443 and 903,195 is: 1,325,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,443 : 903,195 = 903,195 : x
  2. Step 2: Convert to fraction form
    615,443/903,195 = 903,195/x
  3. Step 3: Cross multiply
    615,443x = 903,195 × 903,195
  4. Step 4: Simplify right side
    615,443x = 815,761,208,025
  5. Step 5: Solve for x
    x = 815,761,208,025/615,443
  6. Step 6: Final answer
    x = 1,325,486.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.