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Finding the Third Proportional to 3,578,970 and 5,420,551.50

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Solution

The third proportional to 3,578,970 and 5,420,551.50 is: 8,209,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578,970 : 5,420,551.50 = 5,420,551.50 : x
  2. Step 2: Convert to fraction form
    3,578,970/5,420,551.50 = 5,420,551.50/x
  3. Step 3: Cross multiply
    3,578,970x = 5,420,551.50 × 5,420,551.50
  4. Step 4: Simplify right side
    3,578,970x = 29,382,378,564,152.25
  5. Step 5: Solve for x
    x = 29,382,378,564,152.25/3,578,970
  6. Step 6: Final answer
    x = 8,209,730.33

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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.