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Finding the Third Proportional to 515,816 and 788,988

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Solution

The third proportional to 515,816 and 788,988 is: 1,206,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,816 : 788,988 = 788,988 : x
  2. Step 2: Convert to fraction form
    515,816/788,988 = 788,988/x
  3. Step 3: Cross multiply
    515,816x = 788,988 × 788,988
  4. Step 4: Simplify right side
    515,816x = 622,502,064,144
  5. Step 5: Solve for x
    x = 622,502,064,144/515,816
  6. Step 6: Final answer
    x = 1,206,829.69

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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.