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Finding the Third Proportional to 324,120 and 512,816

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Solution

The third proportional to 324,120 and 512,816 is: 811,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,120 : 512,816 = 512,816 : x
  2. Step 2: Convert to fraction form
    324,120/512,816 = 512,816/x
  3. Step 3: Cross multiply
    324,120x = 512,816 × 512,816
  4. Step 4: Simplify right side
    324,120x = 262,980,249,856
  5. Step 5: Solve for x
    x = 262,980,249,856/324,120
  6. Step 6: Final answer
    x = 811,366.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.