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Finding the Third Proportional to 7,869,978 and 11,579,919

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Solution

The third proportional to 7,869,978 and 11,579,919 is: 17,038,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869,978 : 11,579,919 = 11,579,919 : x
  2. Step 2: Convert to fraction form
    7,869,978/11,579,919 = 11,579,919/x
  3. Step 3: Cross multiply
    7,869,978x = 11,579,919 × 11,579,919
  4. Step 4: Simplify right side
    7,869,978x = 134,094,524,046,561
  5. Step 5: Solve for x
    x = 134,094,524,046,561/7,869,978
  6. Step 6: Final answer
    x = 17,038,741.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.