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Finding the Third Proportional to 93,555 and 144,022

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Solution

The third proportional to 93,555 and 144,022 is: 221,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,555 : 144,022 = 144,022 : x
  2. Step 2: Convert to fraction form
    93,555/144,022 = 144,022/x
  3. Step 3: Cross multiply
    93,555x = 144,022 × 144,022
  4. Step 4: Simplify right side
    93,555x = 20,742,336,484
  5. Step 5: Solve for x
    x = 20,742,336,484/93,555
  6. Step 6: Final answer
    x = 221,712.75

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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.