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Finding the Third Proportional to 187,818 and 411,220

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Solution

The third proportional to 187,818 and 411,220 is: 900,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,818 : 411,220 = 411,220 : x
  2. Step 2: Convert to fraction form
    187,818/411,220 = 411,220/x
  3. Step 3: Cross multiply
    187,818x = 411,220 × 411,220
  4. Step 4: Simplify right side
    187,818x = 169,101,888,400
  5. Step 5: Solve for x
    x = 169,101,888,400/187,818
  6. Step 6: Final answer
    x = 900,349.74

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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.