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Finding the Third Proportional to 187,107 and 411,574

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Solution

The third proportional to 187,107 and 411,574 is: 905,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,107 : 411,574 = 411,574 : x
  2. Step 2: Convert to fraction form
    187,107/411,574 = 411,574/x
  3. Step 3: Cross multiply
    187,107x = 411,574 × 411,574
  4. Step 4: Simplify right side
    187,107x = 169,393,157,476
  5. Step 5: Solve for x
    x = 169,393,157,476/187,107
  6. Step 6: Final answer
    x = 905,327.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.