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Finding the Third Proportional to 128,952 and 190,968

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Solution

The third proportional to 128,952 and 190,968 is: 282,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,952 : 190,968 = 190,968 : x
  2. Step 2: Convert to fraction form
    128,952/190,968 = 190,968/x
  3. Step 3: Cross multiply
    128,952x = 190,968 × 190,968
  4. Step 4: Simplify right side
    128,952x = 36,468,777,024
  5. Step 5: Solve for x
    x = 36,468,777,024/128,952
  6. Step 6: Final answer
    x = 282,808.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.