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Finding the Third Proportional to 4,968,402.75 and 7,477,480.13

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Solution

The third proportional to 4,968,402.75 and 7,477,480.13 is: 11,253,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968,402.75 : 7,477,480.13 = 7,477,480.13 : x
  2. Step 2: Convert to fraction form
    4,968,402.75/7,477,480.13 = 7,477,480.13/x
  3. Step 3: Cross multiply
    4,968,402.75x = 7,477,480.13 × 7,477,480.13
  4. Step 4: Simplify right side
    4,968,402.75x = 55,912,709,019,770.02
  5. Step 5: Solve for x
    x = 55,912,709,019,770.02/4,968,402.75
  6. Step 6: Final answer
    x = 11,253,658.74

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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.