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Finding the Third Proportional to 78,128 and 161,792

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Solution

The third proportional to 78,128 and 161,792 is: 335,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128 : 161,792 = 161,792 : x
  2. Step 2: Convert to fraction form
    78,128/161,792 = 161,792/x
  3. Step 3: Cross multiply
    78,128x = 161,792 × 161,792
  4. Step 4: Simplify right side
    78,128x = 26,176,651,264
  5. Step 5: Solve for x
    x = 26,176,651,264/78,128
  6. Step 6: Final answer
    x = 335,048.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.