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Finding the Third Proportional to 247,320 and 370,816

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Solution

The third proportional to 247,320 and 370,816 is: 555,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,320 : 370,816 = 370,816 : x
  2. Step 2: Convert to fraction form
    247,320/370,816 = 370,816/x
  3. Step 3: Cross multiply
    247,320x = 370,816 × 370,816
  4. Step 4: Simplify right side
    247,320x = 137,504,505,856
  5. Step 5: Solve for x
    x = 137,504,505,856/247,320
  6. Step 6: Final answer
    x = 555,978.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.