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Finding the Third Proportional to 487,296 and 728,928

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Solution

The third proportional to 487,296 and 728,928 is: 1,090,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,296 : 728,928 = 728,928 : x
  2. Step 2: Convert to fraction form
    487,296/728,928 = 728,928/x
  3. Step 3: Cross multiply
    487,296x = 728,928 × 728,928
  4. Step 4: Simplify right side
    487,296x = 531,336,029,184
  5. Step 5: Solve for x
    x = 531,336,029,184/487,296
  6. Step 6: Final answer
    x = 1,090,376.34

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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.