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Finding the Third Proportional to 688,167 and 1,424,718

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Solution

The third proportional to 688,167 and 1,424,718 is: 2,949,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,167 : 1,424,718 = 1,424,718 : x
  2. Step 2: Convert to fraction form
    688,167/1,424,718 = 1,424,718/x
  3. Step 3: Cross multiply
    688,167x = 1,424,718 × 1,424,718
  4. Step 4: Simplify right side
    688,167x = 2,029,821,379,524
  5. Step 5: Solve for x
    x = 2,029,821,379,524/688,167
  6. Step 6: Final answer
    x = 2,949,605.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.