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Finding the Third Proportional to 64,554 and 141,888

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Solution

The third proportional to 64,554 and 141,888 is: 311,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,554 : 141,888 = 141,888 : x
  2. Step 2: Convert to fraction form
    64,554/141,888 = 141,888/x
  3. Step 3: Cross multiply
    64,554x = 141,888 × 141,888
  4. Step 4: Simplify right side
    64,554x = 20,132,204,544
  5. Step 5: Solve for x
    x = 20,132,204,544/64,554
  6. Step 6: Final answer
    x = 311,866.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.