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Finding the Third Proportional to 53,908.50 and 83,388

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Solution

The third proportional to 53,908.50 and 83,388 is: 128,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,908.50 : 83,388 = 83,388 : x
  2. Step 2: Convert to fraction form
    53,908.50/83,388 = 83,388/x
  3. Step 3: Cross multiply
    53,908.50x = 83,388 × 83,388
  4. Step 4: Simplify right side
    53,908.50x = 6,953,558,544
  5. Step 5: Solve for x
    x = 6,953,558,544/53,908.50
  6. Step 6: Final answer
    x = 128,988.17

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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.