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Finding the Third Proportional to 11,831,710 and 18,174,960

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Solution

The third proportional to 11,831,710 and 18,174,960 is: 27,918,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831,710 : 18,174,960 = 18,174,960 : x
  2. Step 2: Convert to fraction form
    11,831,710/18,174,960 = 18,174,960/x
  3. Step 3: Cross multiply
    11,831,710x = 18,174,960 × 18,174,960
  4. Step 4: Simplify right side
    11,831,710x = 330,329,171,001,600
  5. Step 5: Solve for x
    x = 330,329,171,001,600/11,831,710
  6. Step 6: Final answer
    x = 27,918,971.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.