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Finding the Third Proportional to 270,141.75 and 391,265.44

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Solution

The third proportional to 270,141.75 and 391,265.44 is: 566,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,141.75 : 391,265.44 = 391,265.44 : x
  2. Step 2: Convert to fraction form
    270,141.75/391,265.44 = 391,265.44/x
  3. Step 3: Cross multiply
    270,141.75x = 391,265.44 × 391,265.44
  4. Step 4: Simplify right side
    270,141.75x = 153,088,642,582.07
  5. Step 5: Solve for x
    x = 153,088,642,582.07/270,141.75
  6. Step 6: Final answer
    x = 566,697.46

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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.