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Finding the Third Proportional to 93,406 and 144,870

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Solution

The third proportional to 93,406 and 144,870 is: 224,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,406 : 144,870 = 144,870 : x
  2. Step 2: Convert to fraction form
    93,406/144,870 = 144,870/x
  3. Step 3: Cross multiply
    93,406x = 144,870 × 144,870
  4. Step 4: Simplify right side
    93,406x = 20,987,316,900
  5. Step 5: Solve for x
    x = 20,987,316,900/93,406
  6. Step 6: Final answer
    x = 224,689.17

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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.