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Finding the Third Proportional to 85,416.19 and 186,919.31

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Solution

The third proportional to 85,416.19 and 186,919.31 is: 409,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416.19 : 186,919.31 = 186,919.31 : x
  2. Step 2: Convert to fraction form
    85,416.19/186,919.31 = 186,919.31/x
  3. Step 3: Cross multiply
    85,416.19x = 186,919.31 × 186,919.31
  4. Step 4: Simplify right side
    85,416.19x = 34,938,829,385.47
  5. Step 5: Solve for x
    x = 34,938,829,385.47/85,416.19
  6. Step 6: Final answer
    x = 409,042.25

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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.