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Finding the Third Proportional to 899,340,369 and 2,005,468,228.50

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Solution

The third proportional to 899,340,369 and 2,005,468,228.50 is: 4,472,058,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,340,369 : 2,005,468,228.50 = 2,005,468,228.50 : x
  2. Step 2: Convert to fraction form
    899,340,369/2,005,468,228.50 = 2,005,468,228.50/x
  3. Step 3: Cross multiply
    899,340,369x = 2,005,468,228.50 × 2,005,468,228.50
  4. Step 4: Simplify right side
    899,340,369x = 4,021,902,815,522,928,128
  5. Step 5: Solve for x
    x = 4,021,902,815,522,928,128/899,340,369
  6. Step 6: Final answer
    x = 4,472,058,582.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.