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Finding the Third Proportional to 128,377.41 and 192,590.16

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Solution

The third proportional to 128,377.41 and 192,590.16 is: 288,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,377.41 : 192,590.16 = 192,590.16 : x
  2. Step 2: Convert to fraction form
    128,377.41/192,590.16 = 192,590.16/x
  3. Step 3: Cross multiply
    128,377.41x = 192,590.16 × 192,590.16
  4. Step 4: Simplify right side
    128,377.41x = 37,090,968,284.40
  5. Step 5: Solve for x
    x = 37,090,968,284.40/128,377.41
  6. Step 6: Final answer
    x = 288,921.31

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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.