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Finding the Third Proportional to 678,987 and 1,474,746

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Solution

The third proportional to 678,987 and 1,474,746 is: 3,203,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,987 : 1,474,746 = 1,474,746 : x
  2. Step 2: Convert to fraction form
    678,987/1,474,746 = 1,474,746/x
  3. Step 3: Cross multiply
    678,987x = 1,474,746 × 1,474,746
  4. Step 4: Simplify right side
    678,987x = 2,174,875,764,516
  5. Step 5: Solve for x
    x = 2,174,875,764,516/678,987
  6. Step 6: Final answer
    x = 3,203,118.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.