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Finding the Third Proportional to 129,038 and 202,773

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Solution

The third proportional to 129,038 and 202,773 is: 318,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,038 : 202,773 = 202,773 : x
  2. Step 2: Convert to fraction form
    129,038/202,773 = 202,773/x
  3. Step 3: Cross multiply
    129,038x = 202,773 × 202,773
  4. Step 4: Simplify right side
    129,038x = 41,116,889,529
  5. Step 5: Solve for x
    x = 41,116,889,529/129,038
  6. Step 6: Final answer
    x = 318,641.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.