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Finding the Third Proportional to 187,776 and 288,224

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Solution

The third proportional to 187,776 and 288,224 is: 442,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,776 : 288,224 = 288,224 : x
  2. Step 2: Convert to fraction form
    187,776/288,224 = 288,224/x
  3. Step 3: Cross multiply
    187,776x = 288,224 × 288,224
  4. Step 4: Simplify right side
    187,776x = 83,073,074,176
  5. Step 5: Solve for x
    x = 83,073,074,176/187,776
  6. Step 6: Final answer
    x = 442,405.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.