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Finding the Third Proportional to 310,889 and 480,072

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Solution

The third proportional to 310,889 and 480,072 is: 741,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,889 : 480,072 = 480,072 : x
  2. Step 2: Convert to fraction form
    310,889/480,072 = 480,072/x
  3. Step 3: Cross multiply
    310,889x = 480,072 × 480,072
  4. Step 4: Simplify right side
    310,889x = 230,469,125,184
  5. Step 5: Solve for x
    x = 230,469,125,184/310,889
  6. Step 6: Final answer
    x = 741,322.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.