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Finding the Third Proportional to 287,122 and 618,119

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Solution

The third proportional to 287,122 and 618,119 is: 1,330,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,122 : 618,119 = 618,119 : x
  2. Step 2: Convert to fraction form
    287,122/618,119 = 618,119/x
  3. Step 3: Cross multiply
    287,122x = 618,119 × 618,119
  4. Step 4: Simplify right side
    287,122x = 382,071,098,161
  5. Step 5: Solve for x
    x = 382,071,098,161/287,122
  6. Step 6: Final answer
    x = 1,330,692.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.