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Finding the Third Proportional to 48,615.19 and 93,813.19

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Solution

The third proportional to 48,615.19 and 93,813.19 is: 181,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,615.19 : 93,813.19 = 93,813.19 : x
  2. Step 2: Convert to fraction form
    48,615.19/93,813.19 = 93,813.19/x
  3. Step 3: Cross multiply
    48,615.19x = 93,813.19 × 93,813.19
  4. Step 4: Simplify right side
    48,615.19x = 8,800,914,148.91
  5. Step 5: Solve for x
    x = 8,800,914,148.91/48,615.19
  6. Step 6: Final answer
    x = 181,032.20

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.