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Finding the Third Proportional to 142,288 and 190,944

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Solution

The third proportional to 142,288 and 190,944 is: 256,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,288 : 190,944 = 190,944 : x
  2. Step 2: Convert to fraction form
    142,288/190,944 = 190,944/x
  3. Step 3: Cross multiply
    142,288x = 190,944 × 190,944
  4. Step 4: Simplify right side
    142,288x = 36,459,611,136
  5. Step 5: Solve for x
    x = 36,459,611,136/142,288
  6. Step 6: Final answer
    x = 256,238.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.