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Finding the Third Proportional to 3,584,578.43 and 5,406,622.80

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Solution

The third proportional to 3,584,578.43 and 5,406,622.80 is: 8,154,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584,578.43 : 5,406,622.80 = 5,406,622.80 : x
  2. Step 2: Convert to fraction form
    3,584,578.43/5,406,622.80 = 5,406,622.80/x
  3. Step 3: Cross multiply
    3,584,578.43x = 5,406,622.80 × 5,406,622.80
  4. Step 4: Simplify right side
    3,584,578.43x = 29,231,570,152,166.93
  5. Step 5: Solve for x
    x = 29,231,570,152,166.93/3,584,578.43
  6. Step 6: Final answer
    x = 8,154,813.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.