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Finding the Third Proportional to 325,040 and 502,296

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Solution

The third proportional to 325,040 and 502,296 is: 776,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,040 : 502,296 = 502,296 : x
  2. Step 2: Convert to fraction form
    325,040/502,296 = 502,296/x
  3. Step 3: Cross multiply
    325,040x = 502,296 × 502,296
  4. Step 4: Simplify right side
    325,040x = 252,301,271,616
  5. Step 5: Solve for x
    x = 252,301,271,616/325,040
  6. Step 6: Final answer
    x = 776,216.07

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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.