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Finding the Third Proportional to 63,302.06 and 100,238.34

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Solution

The third proportional to 63,302.06 and 100,238.34 is: 158,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,302.06 : 100,238.34 = 100,238.34 : x
  2. Step 2: Convert to fraction form
    63,302.06/100,238.34 = 100,238.34/x
  3. Step 3: Cross multiply
    63,302.06x = 100,238.34 × 100,238.34
  4. Step 4: Simplify right side
    63,302.06x = 10,047,725,557.74
  5. Step 5: Solve for x
    x = 10,047,725,557.74/63,302.06
  6. Step 6: Final answer
    x = 158,726.67

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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.