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Finding the Third Proportional to 204,852 and 310,140

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Solution

The third proportional to 204,852 and 310,140 is: 469,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,852 : 310,140 = 310,140 : x
  2. Step 2: Convert to fraction form
    204,852/310,140 = 310,140/x
  3. Step 3: Cross multiply
    204,852x = 310,140 × 310,140
  4. Step 4: Simplify right side
    204,852x = 96,186,819,600
  5. Step 5: Solve for x
    x = 96,186,819,600/204,852
  6. Step 6: Final answer
    x = 469,542.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.