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Finding the Third Proportional to 270,415.69 and 391,681.13

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Solution

The third proportional to 270,415.69 and 391,681.13 is: 567,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,415.69 : 391,681.13 = 391,681.13 : x
  2. Step 2: Convert to fraction form
    270,415.69/391,681.13 = 391,681.13/x
  3. Step 3: Cross multiply
    270,415.69x = 391,681.13 × 391,681.13
  4. Step 4: Simplify right side
    270,415.69x = 153,414,103,681.27
  5. Step 5: Solve for x
    x = 153,414,103,681.27/270,415.69
  6. Step 6: Final answer
    x = 567,326.94

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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.