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Finding the Third Proportional to 31,407.75 and 49,587.19

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Solution

The third proportional to 31,407.75 and 49,587.19 is: 78,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.75 : 49,587.19 = 49,587.19 : x
  2. Step 2: Convert to fraction form
    31,407.75/49,587.19 = 49,587.19/x
  3. Step 3: Cross multiply
    31,407.75x = 49,587.19 × 49,587.19
  4. Step 4: Simplify right side
    31,407.75x = 2,458,889,164.16
  5. Step 5: Solve for x
    x = 2,458,889,164.16/31,407.75
  6. Step 6: Final answer
    x = 78,289.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.