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Finding the Third Proportional to 86,470 and 189,342

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Solution

The third proportional to 86,470 and 189,342 is: 414,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,470 : 189,342 = 189,342 : x
  2. Step 2: Convert to fraction form
    86,470/189,342 = 189,342/x
  3. Step 3: Cross multiply
    86,470x = 189,342 × 189,342
  4. Step 4: Simplify right side
    86,470x = 35,850,392,964
  5. Step 5: Solve for x
    x = 35,850,392,964/86,470
  6. Step 6: Final answer
    x = 414,599.20

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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.