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Finding the Third Proportional to 86,128 and 185,840

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Solution

The third proportional to 86,128 and 185,840 is: 400,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,128 : 185,840 = 185,840 : x
  2. Step 2: Convert to fraction form
    86,128/185,840 = 185,840/x
  3. Step 3: Cross multiply
    86,128x = 185,840 × 185,840
  4. Step 4: Simplify right side
    86,128x = 34,536,505,600
  5. Step 5: Solve for x
    x = 34,536,505,600/86,128
  6. Step 6: Final answer
    x = 400,990.45

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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.