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Finding the Third Proportional to 93,763.83 and 202,185.49

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Solution

The third proportional to 93,763.83 and 202,185.49 is: 435,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,763.83 : 202,185.49 = 202,185.49 : x
  2. Step 2: Convert to fraction form
    93,763.83/202,185.49 = 202,185.49/x
  3. Step 3: Cross multiply
    93,763.83x = 202,185.49 × 202,185.49
  4. Step 4: Simplify right side
    93,763.83x = 40,878,973,251.10
  5. Step 5: Solve for x
    x = 40,878,973,251.10/93,763.83
  6. Step 6: Final answer
    x = 435,978.07

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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.