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Finding the Third Proportional to 93,368 and 204,877

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Solution

The third proportional to 93,368 and 204,877 is: 449,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,368 : 204,877 = 204,877 : x
  2. Step 2: Convert to fraction form
    93,368/204,877 = 204,877/x
  3. Step 3: Cross multiply
    93,368x = 204,877 × 204,877
  4. Step 4: Simplify right side
    93,368x = 41,974,585,129
  5. Step 5: Solve for x
    x = 41,974,585,129/93,368
  6. Step 6: Final answer
    x = 449,560.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.