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Finding the Third Proportional to 403,252 and 880,290

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Solution

The third proportional to 403,252 and 880,290 is: 1,921,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,252 : 880,290 = 880,290 : x
  2. Step 2: Convert to fraction form
    403,252/880,290 = 880,290/x
  3. Step 3: Cross multiply
    403,252x = 880,290 × 880,290
  4. Step 4: Simplify right side
    403,252x = 774,910,484,100
  5. Step 5: Solve for x
    x = 774,910,484,100/403,252
  6. Step 6: Final answer
    x = 1,921,653.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.