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Finding the Third Proportional to 128,358 and 192,935.25

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Solution

The third proportional to 128,358 and 192,935.25 is: 290,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,358 : 192,935.25 = 192,935.25 : x
  2. Step 2: Convert to fraction form
    128,358/192,935.25 = 192,935.25/x
  3. Step 3: Cross multiply
    128,358x = 192,935.25 × 192,935.25
  4. Step 4: Simplify right side
    128,358x = 37,224,010,692.56
  5. Step 5: Solve for x
    x = 37,224,010,692.56/128,358
  6. Step 6: Final answer
    x = 290,001.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.