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Finding the Third Proportional to 187,816 and 411,216

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Solution

The third proportional to 187,816 and 411,216 is: 900,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,816 : 411,216 = 411,216 : x
  2. Step 2: Convert to fraction form
    187,816/411,216 = 411,216/x
  3. Step 3: Cross multiply
    187,816x = 411,216 × 411,216
  4. Step 4: Simplify right side
    187,816x = 169,098,598,656
  5. Step 5: Solve for x
    x = 169,098,598,656/187,816
  6. Step 6: Final answer
    x = 900,341.82

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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.