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Finding the Third Proportional to 604,869 and 912,165

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Solution

The third proportional to 604,869 and 912,165 is: 1,375,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,869 : 912,165 = 912,165 : x
  2. Step 2: Convert to fraction form
    604,869/912,165 = 912,165/x
  3. Step 3: Cross multiply
    604,869x = 912,165 × 912,165
  4. Step 4: Simplify right side
    604,869x = 832,044,987,225
  5. Step 5: Solve for x
    x = 832,044,987,225/604,869
  6. Step 6: Final answer
    x = 1,375,578.82

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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.