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Finding the Third Proportional to 321,439,826 and 697,677,120

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Solution

The third proportional to 321,439,826 and 697,677,120 is: 1,514,290,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,439,826 : 697,677,120 = 697,677,120 : x
  2. Step 2: Convert to fraction form
    321,439,826/697,677,120 = 697,677,120/x
  3. Step 3: Cross multiply
    321,439,826x = 697,677,120 × 697,677,120
  4. Step 4: Simplify right side
    321,439,826x = 486,753,363,771,494,400
  5. Step 5: Solve for x
    x = 486,753,363,771,494,400/321,439,826
  6. Step 6: Final answer
    x = 1,514,290,776.69

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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.