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Finding the Third Proportional to 92,410.50 and 201,405.75

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Solution

The third proportional to 92,410.50 and 201,405.75 is: 438,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,410.50 : 201,405.75 = 201,405.75 : x
  2. Step 2: Convert to fraction form
    92,410.50/201,405.75 = 201,405.75/x
  3. Step 3: Cross multiply
    92,410.50x = 201,405.75 × 201,405.75
  4. Step 4: Simplify right side
    92,410.50x = 40,564,276,133.06
  5. Step 5: Solve for x
    x = 40,564,276,133.06/92,410.50
  6. Step 6: Final answer
    x = 438,957.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.