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Finding the Third Proportional to 409,348 and 880,904

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Solution

The third proportional to 409,348 and 880,904 is: 1,895,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,348 : 880,904 = 880,904 : x
  2. Step 2: Convert to fraction form
    409,348/880,904 = 880,904/x
  3. Step 3: Cross multiply
    409,348x = 880,904 × 880,904
  4. Step 4: Simplify right side
    409,348x = 775,991,857,216
  5. Step 5: Solve for x
    x = 775,991,857,216/409,348
  6. Step 6: Final answer
    x = 1,895,677.66

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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.