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Finding the Third Proportional to 398,509.88 and 463,287.09

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Solution

The third proportional to 398,509.88 and 463,287.09 is: 538,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,509.88 : 463,287.09 = 463,287.09 : x
  2. Step 2: Convert to fraction form
    398,509.88/463,287.09 = 463,287.09/x
  3. Step 3: Cross multiply
    398,509.88x = 463,287.09 × 463,287.09
  4. Step 4: Simplify right side
    398,509.88x = 214,634,931,235.32
  5. Step 5: Solve for x
    x = 214,634,931,235.32/398,509.88
  6. Step 6: Final answer
    x = 538,593.76

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.