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Finding the Third Proportional to 128,275.52 and 201,223.93

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Solution

The third proportional to 128,275.52 and 201,223.93 is: 315,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,275.52 : 201,223.93 = 201,223.93 : x
  2. Step 2: Convert to fraction form
    128,275.52/201,223.93 = 201,223.93/x
  3. Step 3: Cross multiply
    128,275.52x = 201,223.93 × 201,223.93
  4. Step 4: Simplify right side
    128,275.52x = 40,491,071,450.94
  5. Step 5: Solve for x
    x = 40,491,071,450.94/128,275.52
  6. Step 6: Final answer
    x = 315,657.04

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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.