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Finding the Third Proportional to 287,396 and 618,020

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Solution

The third proportional to 287,396 and 618,020 is: 1,328,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,396 : 618,020 = 618,020 : x
  2. Step 2: Convert to fraction form
    287,396/618,020 = 618,020/x
  3. Step 3: Cross multiply
    287,396x = 618,020 × 618,020
  4. Step 4: Simplify right side
    287,396x = 381,948,720,400
  5. Step 5: Solve for x
    x = 381,948,720,400/287,396
  6. Step 6: Final answer
    x = 1,328,998.04

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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.