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Finding the Third Proportional to 409,384 and 880,976

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Solution

The third proportional to 409,384 and 880,976 is: 1,895,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,384 : 880,976 = 880,976 : x
  2. Step 2: Convert to fraction form
    409,384/880,976 = 880,976/x
  3. Step 3: Cross multiply
    409,384x = 880,976 × 880,976
  4. Step 4: Simplify right side
    409,384x = 776,118,712,576
  5. Step 5: Solve for x
    x = 776,118,712,576/409,384
  6. Step 6: Final answer
    x = 1,895,820.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.