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Finding the Third Proportional to 903,436 and 1,204,432

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Solution

The third proportional to 903,436 and 1,204,432 is: 1,605,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,436 : 1,204,432 = 1,204,432 : x
  2. Step 2: Convert to fraction form
    903,436/1,204,432 = 1,204,432/x
  3. Step 3: Cross multiply
    903,436x = 1,204,432 × 1,204,432
  4. Step 4: Simplify right side
    903,436x = 1,450,656,442,624
  5. Step 5: Solve for x
    x = 1,450,656,442,624/903,436
  6. Step 6: Final answer
    x = 1,605,710.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.