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Finding the Third Proportional to 128,937 and 199,237

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Solution

The third proportional to 128,937 and 199,237 is: 307,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,937 : 199,237 = 199,237 : x
  2. Step 2: Convert to fraction form
    128,937/199,237 = 199,237/x
  3. Step 3: Cross multiply
    128,937x = 199,237 × 199,237
  4. Step 4: Simplify right side
    128,937x = 39,695,382,169
  5. Step 5: Solve for x
    x = 39,695,382,169/128,937
  6. Step 6: Final answer
    x = 307,866.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.