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Finding the Third Proportional to 136,752.75 and 207,018

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Solution

The third proportional to 136,752.75 and 207,018 is: 313,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,752.75 : 207,018 = 207,018 : x
  2. Step 2: Convert to fraction form
    136,752.75/207,018 = 207,018/x
  3. Step 3: Cross multiply
    136,752.75x = 207,018 × 207,018
  4. Step 4: Simplify right side
    136,752.75x = 42,856,452,324
  5. Step 5: Solve for x
    x = 42,856,452,324/136,752.75
  6. Step 6: Final answer
    x = 313,386.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.