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Finding the Third Proportional to 426,176 and 918,774

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Solution

The third proportional to 426,176 and 918,774 is: 1,980,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,176 : 918,774 = 918,774 : x
  2. Step 2: Convert to fraction form
    426,176/918,774 = 918,774/x
  3. Step 3: Cross multiply
    426,176x = 918,774 × 918,774
  4. Step 4: Simplify right side
    426,176x = 844,145,663,076
  5. Step 5: Solve for x
    x = 844,145,663,076/426,176
  6. Step 6: Final answer
    x = 1,980,744.25

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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.