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Finding the Third Proportional to 578,136.87 and 1,271,603.81

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Solution

The third proportional to 578,136.87 and 1,271,603.81 is: 2,796,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,136.87 : 1,271,603.81 = 1,271,603.81 : x
  2. Step 2: Convert to fraction form
    578,136.87/1,271,603.81 = 1,271,603.81/x
  3. Step 3: Cross multiply
    578,136.87x = 1,271,603.81 × 1,271,603.81
  4. Step 4: Simplify right side
    578,136.87x = 1,616,976,255,964.54
  5. Step 5: Solve for x
    x = 1,616,976,255,964.54/578,136.87
  6. Step 6: Final answer
    x = 2,796,874.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.