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Finding the Third Proportional to 310,516 and 480,948

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Solution

The third proportional to 310,516 and 480,948 is: 744,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,516 : 480,948 = 480,948 : x
  2. Step 2: Convert to fraction form
    310,516/480,948 = 480,948/x
  3. Step 3: Cross multiply
    310,516x = 480,948 × 480,948
  4. Step 4: Simplify right side
    310,516x = 231,310,978,704
  5. Step 5: Solve for x
    x = 231,310,978,704/310,516
  6. Step 6: Final answer
    x = 744,924.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.