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Finding the Third Proportional to 214,310.81 and 315,064.69

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Solution

The third proportional to 214,310.81 and 315,064.69 is: 463,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,310.81 : 315,064.69 = 315,064.69 : x
  2. Step 2: Convert to fraction form
    214,310.81/315,064.69 = 315,064.69/x
  3. Step 3: Cross multiply
    214,310.81x = 315,064.69 × 315,064.69
  4. Step 4: Simplify right side
    214,310.81x = 99,265,757,309.47
  5. Step 5: Solve for x
    x = 99,265,757,309.47/214,310.81
  6. Step 6: Final answer
    x = 463,185.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.