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Finding the Third Proportional to 8,130,231 and 11,970,729

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Solution

The third proportional to 8,130,231 and 11,970,729 is: 17,625,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130,231 : 11,970,729 = 11,970,729 : x
  2. Step 2: Convert to fraction form
    8,130,231/11,970,729 = 11,970,729/x
  3. Step 3: Cross multiply
    8,130,231x = 11,970,729 × 11,970,729
  4. Step 4: Simplify right side
    8,130,231x = 143,298,352,791,441
  5. Step 5: Solve for x
    x = 143,298,352,791,441/8,130,231
  6. Step 6: Final answer
    x = 17,625,372.86

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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.