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Finding the Third Proportional to 515,822 and 788,996

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Solution

The third proportional to 515,822 and 788,996 is: 1,206,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,822 : 788,996 = 788,996 : x
  2. Step 2: Convert to fraction form
    515,822/788,996 = 788,996/x
  3. Step 3: Cross multiply
    515,822x = 788,996 × 788,996
  4. Step 4: Simplify right side
    515,822x = 622,514,688,016
  5. Step 5: Solve for x
    x = 622,514,688,016/515,822
  6. Step 6: Final answer
    x = 1,206,840.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.