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Finding the Third Proportional to 317,929 and 480,134

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Solution

The third proportional to 317,929 and 480,134 is: 725,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,929 : 480,134 = 480,134 : x
  2. Step 2: Convert to fraction form
    317,929/480,134 = 480,134/x
  3. Step 3: Cross multiply
    317,929x = 480,134 × 480,134
  4. Step 4: Simplify right side
    317,929x = 230,528,657,956
  5. Step 5: Solve for x
    x = 230,528,657,956/317,929
  6. Step 6: Final answer
    x = 725,094.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.