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Finding the Third Proportional to 128,212.88 and 183,070.13

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Solution

The third proportional to 128,212.88 and 183,070.13 is: 261,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,212.88 : 183,070.13 = 183,070.13 : x
  2. Step 2: Convert to fraction form
    128,212.88/183,070.13 = 183,070.13/x
  3. Step 3: Cross multiply
    128,212.88x = 183,070.13 × 183,070.13
  4. Step 4: Simplify right side
    128,212.88x = 33,514,670,667.52
  5. Step 5: Solve for x
    x = 33,514,670,667.52/128,212.88
  6. Step 6: Final answer
    x = 261,398.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.