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Finding the Third Proportional to 93,486 and 202,746

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Solution

The third proportional to 93,486 and 202,746 is: 439,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,486 : 202,746 = 202,746 : x
  2. Step 2: Convert to fraction form
    93,486/202,746 = 202,746/x
  3. Step 3: Cross multiply
    93,486x = 202,746 × 202,746
  4. Step 4: Simplify right side
    93,486x = 41,105,940,516
  5. Step 5: Solve for x
    x = 41,105,940,516/93,486
  6. Step 6: Final answer
    x = 439,701.57

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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.