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Finding the Third Proportional to 270,955.13 and 421,939.13

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Solution

The third proportional to 270,955.13 and 421,939.13 is: 657,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,955.13 : 421,939.13 = 421,939.13 : x
  2. Step 2: Convert to fraction form
    270,955.13/421,939.13 = 421,939.13/x
  3. Step 3: Cross multiply
    270,955.13x = 421,939.13 × 421,939.13
  4. Step 4: Simplify right side
    270,955.13x = 178,032,625,205.77
  5. Step 5: Solve for x
    x = 178,032,625,205.77/270,955.13
  6. Step 6: Final answer
    x = 657,055.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.