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Finding the Third Proportional to 310,940 and 480,152

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Solution

The third proportional to 310,940 and 480,152 is: 741,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,940 : 480,152 = 480,152 : x
  2. Step 2: Convert to fraction form
    310,940/480,152 = 480,152/x
  3. Step 3: Cross multiply
    310,940x = 480,152 × 480,152
  4. Step 4: Simplify right side
    310,940x = 230,545,943,104
  5. Step 5: Solve for x
    x = 230,545,943,104/310,940
  6. Step 6: Final answer
    x = 741,448.33

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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.