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Finding the Third Proportional to 64,091 and 138,043

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Solution

The third proportional to 64,091 and 138,043 is: 297,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,091 : 138,043 = 138,043 : x
  2. Step 2: Convert to fraction form
    64,091/138,043 = 138,043/x
  3. Step 3: Cross multiply
    64,091x = 138,043 × 138,043
  4. Step 4: Simplify right side
    64,091x = 19,055,869,849
  5. Step 5: Solve for x
    x = 19,055,869,849/64,091
  6. Step 6: Final answer
    x = 297,325.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.