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Finding the Third Proportional to 551,916 and 1,221,869.25

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Solution

The third proportional to 551,916 and 1,221,869.25 is: 2,705,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,916 : 1,221,869.25 = 1,221,869.25 : x
  2. Step 2: Convert to fraction form
    551,916/1,221,869.25 = 1,221,869.25/x
  3. Step 3: Cross multiply
    551,916x = 1,221,869.25 × 1,221,869.25
  4. Step 4: Simplify right side
    551,916x = 1,492,964,464,095.56
  5. Step 5: Solve for x
    x = 1,492,964,464,095.56/551,916
  6. Step 6: Final answer
    x = 2,705,057.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.