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Finding the Third Proportional to 553,109 and 1,206,331

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Solution

The third proportional to 553,109 and 1,206,331 is: 2,631,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,109 : 1,206,331 = 1,206,331 : x
  2. Step 2: Convert to fraction form
    553,109/1,206,331 = 1,206,331/x
  3. Step 3: Cross multiply
    553,109x = 1,206,331 × 1,206,331
  4. Step 4: Simplify right side
    553,109x = 1,455,234,481,561
  5. Step 5: Solve for x
    x = 1,455,234,481,561/553,109
  6. Step 6: Final answer
    x = 2,631,008.50

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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.