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Finding the Third Proportional to 93,553 and 144,019

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Solution

The third proportional to 93,553 and 144,019 is: 221,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,553 : 144,019 = 144,019 : x
  2. Step 2: Convert to fraction form
    93,553/144,019 = 144,019/x
  3. Step 3: Cross multiply
    93,553x = 144,019 × 144,019
  4. Step 4: Simplify right side
    93,553x = 20,741,472,361
  5. Step 5: Solve for x
    x = 20,741,472,361/93,553
  6. Step 6: Final answer
    x = 221,708.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.