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Finding the Third Proportional to 187,074 and 409,140

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Solution

The third proportional to 187,074 and 409,140 is: 894,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,074 : 409,140 = 409,140 : x
  2. Step 2: Convert to fraction form
    187,074/409,140 = 409,140/x
  3. Step 3: Cross multiply
    187,074x = 409,140 × 409,140
  4. Step 4: Simplify right side
    187,074x = 167,395,539,600
  5. Step 5: Solve for x
    x = 167,395,539,600/187,074
  6. Step 6: Final answer
    x = 894,809.22

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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.