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Finding the Third Proportional to 426,172 and 918,765

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Solution

The third proportional to 426,172 and 918,765 is: 1,980,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,172 : 918,765 = 918,765 : x
  2. Step 2: Convert to fraction form
    426,172/918,765 = 918,765/x
  3. Step 3: Cross multiply
    426,172x = 918,765 × 918,765
  4. Step 4: Simplify right side
    426,172x = 844,129,125,225
  5. Step 5: Solve for x
    x = 844,129,125,225/426,172
  6. Step 6: Final answer
    x = 1,980,724.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.