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Finding the Third Proportional to 70,549.31 and 109,284.19

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Solution

The third proportional to 70,549.31 and 109,284.19 is: 169,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,549.31 : 109,284.19 = 109,284.19 : x
  2. Step 2: Convert to fraction form
    70,549.31/109,284.19 = 109,284.19/x
  3. Step 3: Cross multiply
    70,549.31x = 109,284.19 × 109,284.19
  4. Step 4: Simplify right side
    70,549.31x = 11,943,033,637.54
  5. Step 5: Solve for x
    x = 11,943,033,637.54/70,549.31
  6. Step 6: Final answer
    x = 169,286.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.