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Finding the Third Proportional to 270,907.38 and 398,505.63

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Solution

The third proportional to 270,907.38 and 398,505.63 is: 586,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,907.38 : 398,505.63 = 398,505.63 : x
  2. Step 2: Convert to fraction form
    270,907.38/398,505.63 = 398,505.63/x
  3. Step 3: Cross multiply
    270,907.38x = 398,505.63 × 398,505.63
  4. Step 4: Simplify right side
    270,907.38x = 158,806,733,156.64
  5. Step 5: Solve for x
    x = 158,806,733,156.64/270,907.38
  6. Step 6: Final answer
    x = 586,203.06

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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.