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Finding the Third Proportional to 136,377 and 183,448.13

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Solution

The third proportional to 136,377 and 183,448.13 is: 246,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,377 : 183,448.13 = 183,448.13 : x
  2. Step 2: Convert to fraction form
    136,377/183,448.13 = 183,448.13/x
  3. Step 3: Cross multiply
    136,377x = 183,448.13 × 183,448.13
  4. Step 4: Simplify right side
    136,377x = 33,653,214,566.02
  5. Step 5: Solve for x
    x = 33,653,214,566.02/136,377
  6. Step 6: Final answer
    x = 246,766.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.