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Finding the Third Proportional to 85,202 and 128,996

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Solution

The third proportional to 85,202 and 128,996 is: 195,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,202 : 128,996 = 128,996 : x
  2. Step 2: Convert to fraction form
    85,202/128,996 = 128,996/x
  3. Step 3: Cross multiply
    85,202x = 128,996 × 128,996
  4. Step 4: Simplify right side
    85,202x = 16,639,968,016
  5. Step 5: Solve for x
    x = 16,639,968,016/85,202
  6. Step 6: Final answer
    x = 195,300.20

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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.