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Finding the Third Proportional to 85,712 and 189,776

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Solution

The third proportional to 85,712 and 189,776 is: 420,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,712 : 189,776 = 189,776 : x
  2. Step 2: Convert to fraction form
    85,712/189,776 = 189,776/x
  3. Step 3: Cross multiply
    85,712x = 189,776 × 189,776
  4. Step 4: Simplify right side
    85,712x = 36,014,930,176
  5. Step 5: Solve for x
    x = 36,014,930,176/85,712
  6. Step 6: Final answer
    x = 420,185.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.