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Finding the Third Proportional to 647,154 and 979,787

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Solution

The third proportional to 647,154 and 979,787 is: 1,483,391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,154 : 979,787 = 979,787 : x
  2. Step 2: Convert to fraction form
    647,154/979,787 = 979,787/x
  3. Step 3: Cross multiply
    647,154x = 979,787 × 979,787
  4. Step 4: Simplify right side
    647,154x = 959,982,565,369
  5. Step 5: Solve for x
    x = 959,982,565,369/647,154
  6. Step 6: Final answer
    x = 1,483,391.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.