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Finding the Third Proportional to 677,864 and 963,690

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Solution

The third proportional to 677,864 and 963,690 is: 1,370,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,864 : 963,690 = 963,690 : x
  2. Step 2: Convert to fraction form
    677,864/963,690 = 963,690/x
  3. Step 3: Cross multiply
    677,864x = 963,690 × 963,690
  4. Step 4: Simplify right side
    677,864x = 928,698,416,100
  5. Step 5: Solve for x
    x = 928,698,416,100/677,864
  6. Step 6: Final answer
    x = 1,370,036.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.