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Finding the Third Proportional to 209,952 and 318,816

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Solution

The third proportional to 209,952 and 318,816 is: 484,128

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952 : 318,816 = 318,816 : x
  2. Step 2: Convert to fraction form
    209,952/318,816 = 318,816/x
  3. Step 3: Cross multiply
    209,952x = 318,816 × 318,816
  4. Step 4: Simplify right side
    209,952x = 101,643,641,856
  5. Step 5: Solve for x
    x = 101,643,641,856/209,952
  6. Step 6: Final answer
    x = 484,128

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.