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Finding the Third Proportional to 507,800 and 788,816

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Solution

The third proportional to 507,800 and 788,816 is: 1,225,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,800 : 788,816 = 788,816 : x
  2. Step 2: Convert to fraction form
    507,800/788,816 = 788,816/x
  3. Step 3: Cross multiply
    507,800x = 788,816 × 788,816
  4. Step 4: Simplify right side
    507,800x = 622,230,681,856
  5. Step 5: Solve for x
    x = 622,230,681,856/507,800
  6. Step 6: Final answer
    x = 1,225,345.97

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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.