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Finding the Third Proportional to 880,317 and 1,855,209

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Solution

The third proportional to 880,317 and 1,855,209 is: 3,909,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,317 : 1,855,209 = 1,855,209 : x
  2. Step 2: Convert to fraction form
    880,317/1,855,209 = 1,855,209/x
  3. Step 3: Cross multiply
    880,317x = 1,855,209 × 1,855,209
  4. Step 4: Simplify right side
    880,317x = 3,441,800,433,681
  5. Step 5: Solve for x
    x = 3,441,800,433,681/880,317
  6. Step 6: Final answer
    x = 3,909,728.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.