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Finding the Third Proportional to 142,128 and 195,264

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Solution

The third proportional to 142,128 and 195,264 is: 268,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,128 : 195,264 = 195,264 : x
  2. Step 2: Convert to fraction form
    142,128/195,264 = 195,264/x
  3. Step 3: Cross multiply
    142,128x = 195,264 × 195,264
  4. Step 4: Simplify right side
    142,128x = 38,128,029,696
  5. Step 5: Solve for x
    x = 38,128,029,696/142,128
  6. Step 6: Final answer
    x = 268,265.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.