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Finding the Third Proportional to 287,120 and 618,115

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Solution

The third proportional to 287,120 and 618,115 is: 1,330,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,120 : 618,115 = 618,115 : x
  2. Step 2: Convert to fraction form
    287,120/618,115 = 618,115/x
  3. Step 3: Cross multiply
    287,120x = 618,115 × 618,115
  4. Step 4: Simplify right side
    287,120x = 382,066,153,225
  5. Step 5: Solve for x
    x = 382,066,153,225/287,120
  6. Step 6: Final answer
    x = 1,330,684.57

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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.