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Finding the Third Proportional to 72,649.51 and 156,431.46

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Solution

The third proportional to 72,649.51 and 156,431.46 is: 336,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,649.51 : 156,431.46 = 156,431.46 : x
  2. Step 2: Convert to fraction form
    72,649.51/156,431.46 = 156,431.46/x
  3. Step 3: Cross multiply
    72,649.51x = 156,431.46 × 156,431.46
  4. Step 4: Simplify right side
    72,649.51x = 24,470,801,971.04
  5. Step 5: Solve for x
    x = 24,470,801,971.04/72,649.51
  6. Step 6: Final answer
    x = 336,833.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.