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Finding the Third Proportional to 310,902 and 480,129

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Solution

The third proportional to 310,902 and 480,129 is: 741,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,902 : 480,129 = 480,129 : x
  2. Step 2: Convert to fraction form
    310,902/480,129 = 480,129/x
  3. Step 3: Cross multiply
    310,902x = 480,129 × 480,129
  4. Step 4: Simplify right side
    310,902x = 230,523,856,641
  5. Step 5: Solve for x
    x = 230,523,856,641/310,902
  6. Step 6: Final answer
    x = 741,467.91

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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.