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Finding the Third Proportional to 128,690 and 202,083

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Solution

The third proportional to 128,690 and 202,083 is: 317,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,690 : 202,083 = 202,083 : x
  2. Step 2: Convert to fraction form
    128,690/202,083 = 202,083/x
  3. Step 3: Cross multiply
    128,690x = 202,083 × 202,083
  4. Step 4: Simplify right side
    128,690x = 40,837,538,889
  5. Step 5: Solve for x
    x = 40,837,538,889/128,690
  6. Step 6: Final answer
    x = 317,332.65

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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.