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Finding the Third Proportional to 618,688 and 1,351,008

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Solution

The third proportional to 618,688 and 1,351,008 is: 2,950,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,688 : 1,351,008 = 1,351,008 : x
  2. Step 2: Convert to fraction form
    618,688/1,351,008 = 1,351,008/x
  3. Step 3: Cross multiply
    618,688x = 1,351,008 × 1,351,008
  4. Step 4: Simplify right side
    618,688x = 1,825,222,616,064
  5. Step 5: Solve for x
    x = 1,825,222,616,064/618,688
  6. Step 6: Final answer
    x = 2,950,150.34

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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.