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Finding the Third Proportional to 149,676.75 and 218,683.13

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Solution

The third proportional to 149,676.75 and 218,683.13 is: 319,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,676.75 : 218,683.13 = 218,683.13 : x
  2. Step 2: Convert to fraction form
    149,676.75/218,683.13 = 218,683.13/x
  3. Step 3: Cross multiply
    149,676.75x = 218,683.13 × 218,683.13
  4. Step 4: Simplify right side
    149,676.75x = 47,822,309,159.77
  5. Step 5: Solve for x
    x = 47,822,309,159.77/149,676.75
  6. Step 6: Final answer
    x = 319,503.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.