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Finding the Third Proportional to 93,590 and 202,947

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Solution

The third proportional to 93,590 and 202,947 is: 440,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,590 : 202,947 = 202,947 : x
  2. Step 2: Convert to fraction form
    93,590/202,947 = 202,947/x
  3. Step 3: Cross multiply
    93,590x = 202,947 × 202,947
  4. Step 4: Simplify right side
    93,590x = 41,187,484,809
  5. Step 5: Solve for x
    x = 41,187,484,809/93,590
  6. Step 6: Final answer
    x = 440,084.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.