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Finding the Third Proportional to 321,439,842 and 697,677,138

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Solution

The third proportional to 321,439,842 and 697,677,138 is: 1,514,290,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,439,842 : 697,677,138 = 697,677,138 : x
  2. Step 2: Convert to fraction form
    321,439,842/697,677,138 = 697,677,138/x
  3. Step 3: Cross multiply
    321,439,842x = 697,677,138 × 697,677,138
  4. Step 4: Simplify right side
    321,439,842x = 486,753,388,887,871,040
  5. Step 5: Solve for x
    x = 486,753,388,887,871,040/321,439,842
  6. Step 6: Final answer
    x = 1,514,290,779.45

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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.