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Finding the Third Proportional to 69,028 and 149,342

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Solution

The third proportional to 69,028 and 149,342 is: 323,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,028 : 149,342 = 149,342 : x
  2. Step 2: Convert to fraction form
    69,028/149,342 = 149,342/x
  3. Step 3: Cross multiply
    69,028x = 149,342 × 149,342
  4. Step 4: Simplify right side
    69,028x = 22,303,032,964
  5. Step 5: Solve for x
    x = 22,303,032,964/69,028
  6. Step 6: Final answer
    x = 323,101.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.