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Finding the Third Proportional to 615,439 and 903,189

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Solution

The third proportional to 615,439 and 903,189 is: 1,325,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,439 : 903,189 = 903,189 : x
  2. Step 2: Convert to fraction form
    615,439/903,189 = 903,189/x
  3. Step 3: Cross multiply
    615,439x = 903,189 × 903,189
  4. Step 4: Simplify right side
    615,439x = 815,750,369,721
  5. Step 5: Solve for x
    x = 815,750,369,721/615,439
  6. Step 6: Final answer
    x = 1,325,477.21

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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.