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Finding the Third Proportional to 11,831,709 and 18,174,959

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Solution

The third proportional to 11,831,709 and 18,174,959 is: 27,918,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831,709 : 18,174,959 = 18,174,959 : x
  2. Step 2: Convert to fraction form
    11,831,709/18,174,959 = 18,174,959/x
  3. Step 3: Cross multiply
    11,831,709x = 18,174,959 × 18,174,959
  4. Step 4: Simplify right side
    11,831,709x = 330,329,134,651,681
  5. Step 5: Solve for x
    x = 330,329,134,651,681/11,831,709
  6. Step 6: Final answer
    x = 27,918,970.51

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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.