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Finding the Third Proportional to 161,037 and 218,683.50

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Solution

The third proportional to 161,037 and 218,683.50 is: 296,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,037 : 218,683.50 = 218,683.50 : x
  2. Step 2: Convert to fraction form
    161,037/218,683.50 = 218,683.50/x
  3. Step 3: Cross multiply
    161,037x = 218,683.50 × 218,683.50
  4. Step 4: Simplify right side
    161,037x = 47,822,473,172.25
  5. Step 5: Solve for x
    x = 47,822,473,172.25/161,037
  6. Step 6: Final answer
    x = 296,965.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.