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Finding the Third Proportional to 434,211 and 915,078

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Solution

The third proportional to 434,211 and 915,078 is: 1,928,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,211 : 915,078 = 915,078 : x
  2. Step 2: Convert to fraction form
    434,211/915,078 = 915,078/x
  3. Step 3: Cross multiply
    434,211x = 915,078 × 915,078
  4. Step 4: Simplify right side
    434,211x = 837,367,746,084
  5. Step 5: Solve for x
    x = 837,367,746,084/434,211
  6. Step 6: Final answer
    x = 1,928,481.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.