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Finding the Third Proportional to 313,905.38 and 455,549.06

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Solution

The third proportional to 313,905.38 and 455,549.06 is: 661,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,905.38 : 455,549.06 = 455,549.06 : x
  2. Step 2: Convert to fraction form
    313,905.38/455,549.06 = 455,549.06/x
  3. Step 3: Cross multiply
    313,905.38x = 455,549.06 × 455,549.06
  4. Step 4: Simplify right side
    313,905.38x = 207,524,948,344.63
  5. Step 5: Solve for x
    x = 207,524,948,344.63/313,905.38
  6. Step 6: Final answer
    x = 661,106.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.