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Finding the Third Proportional to 515,818 and 788,991

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Solution

The third proportional to 515,818 and 788,991 is: 1,206,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,818 : 788,991 = 788,991 : x
  2. Step 2: Convert to fraction form
    515,818/788,991 = 788,991/x
  3. Step 3: Cross multiply
    515,818x = 788,991 × 788,991
  4. Step 4: Simplify right side
    515,818x = 622,506,798,081
  5. Step 5: Solve for x
    x = 622,506,798,081/515,818
  6. Step 6: Final answer
    x = 1,206,834.19

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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.