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Finding the Third Proportional to 310,736.25 and 456,262.88

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Solution

The third proportional to 310,736.25 and 456,262.88 is: 669,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,736.25 : 456,262.88 = 456,262.88 : x
  2. Step 2: Convert to fraction form
    310,736.25/456,262.88 = 456,262.88/x
  3. Step 3: Cross multiply
    310,736.25x = 456,262.88 × 456,262.88
  4. Step 4: Simplify right side
    310,736.25x = 208,175,811,103.27
  5. Step 5: Solve for x
    x = 208,175,811,103.27/310,736.25
  6. Step 6: Final answer
    x = 669,943.76

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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.