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Finding the Third Proportional to 86,620 and 189,440

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Solution

The third proportional to 86,620 and 189,440 is: 414,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,620 : 189,440 = 189,440 : x
  2. Step 2: Convert to fraction form
    86,620/189,440 = 189,440/x
  3. Step 3: Cross multiply
    86,620x = 189,440 × 189,440
  4. Step 4: Simplify right side
    86,620x = 35,887,513,600
  5. Step 5: Solve for x
    x = 35,887,513,600/86,620
  6. Step 6: Final answer
    x = 414,309.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.