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Finding the Third Proportional to 516,238 and 782,128

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Solution

The third proportional to 516,238 and 782,128 is: 1,184,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,238 : 782,128 = 782,128 : x
  2. Step 2: Convert to fraction form
    516,238/782,128 = 782,128/x
  3. Step 3: Cross multiply
    516,238x = 782,128 × 782,128
  4. Step 4: Simplify right side
    516,238x = 611,724,208,384
  5. Step 5: Solve for x
    x = 611,724,208,384/516,238
  6. Step 6: Final answer
    x = 1,184,965.48

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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.