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Finding the Third Proportional to 86,023.50 and 202,419.94

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Solution

The third proportional to 86,023.50 and 202,419.94 is: 476,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,023.50 : 202,419.94 = 202,419.94 : x
  2. Step 2: Convert to fraction form
    86,023.50/202,419.94 = 202,419.94/x
  3. Step 3: Cross multiply
    86,023.50x = 202,419.94 × 202,419.94
  4. Step 4: Simplify right side
    86,023.50x = 40,973,831,097.50
  5. Step 5: Solve for x
    x = 40,973,831,097.50/86,023.50
  6. Step 6: Final answer
    x = 476,309.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.