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Finding the Third Proportional to 317,888 and 480,072

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Solution

The third proportional to 317,888 and 480,072 is: 725,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,888 : 480,072 = 480,072 : x
  2. Step 2: Convert to fraction form
    317,888/480,072 = 480,072/x
  3. Step 3: Cross multiply
    317,888x = 480,072 × 480,072
  4. Step 4: Simplify right side
    317,888x = 230,469,125,184
  5. Step 5: Solve for x
    x = 230,469,125,184/317,888
  6. Step 6: Final answer
    x = 725,001.02

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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.