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Finding the Third Proportional to 30,105 and 64,239

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Solution

The third proportional to 30,105 and 64,239 is: 137,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105 : 64,239 = 64,239 : x
  2. Step 2: Convert to fraction form
    30,105/64,239 = 64,239/x
  3. Step 3: Cross multiply
    30,105x = 64,239 × 64,239
  4. Step 4: Simplify right side
    30,105x = 4,126,649,121
  5. Step 5: Solve for x
    x = 4,126,649,121/30,105
  6. Step 6: Final answer
    x = 137,075.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.