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Finding the Third Proportional to 187,878.66 and 409,473.56

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Solution

The third proportional to 187,878.66 and 409,473.56 is: 892,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,878.66 : 409,473.56 = 409,473.56 : x
  2. Step 2: Convert to fraction form
    187,878.66/409,473.56 = 409,473.56/x
  3. Step 3: Cross multiply
    187,878.66x = 409,473.56 × 409,473.56
  4. Step 4: Simplify right side
    187,878.66x = 167,668,598,386.44
  5. Step 5: Solve for x
    x = 167,668,598,386.44/187,878.66
  6. Step 6: Final answer
    x = 892,430.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.