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Finding the Third Proportional to 187,820 and 411,224

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Solution

The third proportional to 187,820 and 411,224 is: 900,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,820 : 411,224 = 411,224 : x
  2. Step 2: Convert to fraction form
    187,820/411,224 = 411,224/x
  3. Step 3: Cross multiply
    187,820x = 411,224 × 411,224
  4. Step 4: Simplify right side
    187,820x = 169,105,178,176
  5. Step 5: Solve for x
    x = 169,105,178,176/187,820
  6. Step 6: Final answer
    x = 900,357.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.