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Finding the Third Proportional to 6,862,978 and 14,789,658

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Solution

The third proportional to 6,862,978 and 14,789,658 is: 31,871,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862,978 : 14,789,658 = 14,789,658 : x
  2. Step 2: Convert to fraction form
    6,862,978/14,789,658 = 14,789,658/x
  3. Step 3: Cross multiply
    6,862,978x = 14,789,658 × 14,789,658
  4. Step 4: Simplify right side
    6,862,978x = 218,733,983,756,964
  5. Step 5: Solve for x
    x = 218,733,983,756,964/6,862,978
  6. Step 6: Final answer
    x = 31,871,584.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.