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Finding the Third Proportional to 93,053 and 201,865

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Solution

The third proportional to 93,053 and 201,865 is: 437,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,053 : 201,865 = 201,865 : x
  2. Step 2: Convert to fraction form
    93,053/201,865 = 201,865/x
  3. Step 3: Cross multiply
    93,053x = 201,865 × 201,865
  4. Step 4: Simplify right side
    93,053x = 40,749,478,225
  5. Step 5: Solve for x
    x = 40,749,478,225/93,053
  6. Step 6: Final answer
    x = 437,916.87

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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.