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Finding the Third Proportional to 93,875 and 202,497

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Solution

The third proportional to 93,875 and 202,497 is: 436,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,875 : 202,497 = 202,497 : x
  2. Step 2: Convert to fraction form
    93,875/202,497 = 202,497/x
  3. Step 3: Cross multiply
    93,875x = 202,497 × 202,497
  4. Step 4: Simplify right side
    93,875x = 41,005,035,009
  5. Step 5: Solve for x
    x = 41,005,035,009/93,875
  6. Step 6: Final answer
    x = 436,804.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.