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Finding the Third Proportional to 515,116 and 787,988

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Solution

The third proportional to 515,116 and 787,988 is: 1,205,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,116 : 787,988 = 787,988 : x
  2. Step 2: Convert to fraction form
    515,116/787,988 = 787,988/x
  3. Step 3: Cross multiply
    515,116x = 787,988 × 787,988
  4. Step 4: Simplify right side
    515,116x = 620,925,088,144
  5. Step 5: Solve for x
    x = 620,925,088,144/515,116
  6. Step 6: Final answer
    x = 1,205,408.27

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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.