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Finding the Third Proportional to 93,487 and 202,748

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Solution

The third proportional to 93,487 and 202,748 is: 439,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,487 : 202,748 = 202,748 : x
  2. Step 2: Convert to fraction form
    93,487/202,748 = 202,748/x
  3. Step 3: Cross multiply
    93,487x = 202,748 × 202,748
  4. Step 4: Simplify right side
    93,487x = 41,106,751,504
  5. Step 5: Solve for x
    x = 41,106,751,504/93,487
  6. Step 6: Final answer
    x = 439,705.54

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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.