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Finding the Third Proportional to 86,776 and 189,464

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Solution

The third proportional to 86,776 and 189,464 is: 413,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,776 : 189,464 = 189,464 : x
  2. Step 2: Convert to fraction form
    86,776/189,464 = 189,464/x
  3. Step 3: Cross multiply
    86,776x = 189,464 × 189,464
  4. Step 4: Simplify right side
    86,776x = 35,896,607,296
  5. Step 5: Solve for x
    x = 35,896,607,296/86,776
  6. Step 6: Final answer
    x = 413,669.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.