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Finding the Third Proportional to 46,344.66 and 101,184.19

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Solution

The third proportional to 46,344.66 and 101,184.19 is: 220,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,344.66 : 101,184.19 = 101,184.19 : x
  2. Step 2: Convert to fraction form
    46,344.66/101,184.19 = 101,184.19/x
  3. Step 3: Cross multiply
    46,344.66x = 101,184.19 × 101,184.19
  4. Step 4: Simplify right side
    46,344.66x = 10,238,239,800.04
  5. Step 5: Solve for x
    x = 10,238,239,800.04/46,344.66
  6. Step 6: Final answer
    x = 220,915.22

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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.