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Finding the Third Proportional to 5,113,413 and 11,188,822.50

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Solution

The third proportional to 5,113,413 and 11,188,822.50 is: 24,482,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113,413 : 11,188,822.50 = 11,188,822.50 : x
  2. Step 2: Convert to fraction form
    5,113,413/11,188,822.50 = 11,188,822.50/x
  3. Step 3: Cross multiply
    5,113,413x = 11,188,822.50 × 11,188,822.50
  4. Step 4: Simplify right side
    5,113,413x = 125,189,748,936,506.25
  5. Step 5: Solve for x
    x = 125,189,748,936,506.25/5,113,413
  6. Step 6: Final answer
    x = 24,482,620.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.