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Finding the Third Proportional to 553,186 and 1,206,905

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Solution

The third proportional to 553,186 and 1,206,905 is: 2,633,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,186 : 1,206,905 = 1,206,905 : x
  2. Step 2: Convert to fraction form
    553,186/1,206,905 = 1,206,905/x
  3. Step 3: Cross multiply
    553,186x = 1,206,905 × 1,206,905
  4. Step 4: Simplify right side
    553,186x = 1,456,619,679,025
  5. Step 5: Solve for x
    x = 1,456,619,679,025/553,186
  6. Step 6: Final answer
    x = 2,633,146.32

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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.