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Finding the Third Proportional to 189,712 and 274,776

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Solution

The third proportional to 189,712 and 274,776 is: 397,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,712 : 274,776 = 274,776 : x
  2. Step 2: Convert to fraction form
    189,712/274,776 = 274,776/x
  3. Step 3: Cross multiply
    189,712x = 274,776 × 274,776
  4. Step 4: Simplify right side
    189,712x = 75,501,850,176
  5. Step 5: Solve for x
    x = 75,501,850,176/189,712
  6. Step 6: Final answer
    x = 397,981.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.