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Finding the Third Proportional to 618,726 and 1,310,664

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Solution

The third proportional to 618,726 and 1,310,664 is: 2,776,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,726 : 1,310,664 = 1,310,664 : x
  2. Step 2: Convert to fraction form
    618,726/1,310,664 = 1,310,664/x
  3. Step 3: Cross multiply
    618,726x = 1,310,664 × 1,310,664
  4. Step 4: Simplify right side
    618,726x = 1,717,840,120,896
  5. Step 5: Solve for x
    x = 1,717,840,120,896/618,726
  6. Step 6: Final answer
    x = 2,776,414.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.