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Finding the Third Proportional to 4,113,102.38 and 8,912,649.38

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Solution

The third proportional to 4,113,102.38 and 8,912,649.38 is: 19,312,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113,102.38 : 8,912,649.38 = 8,912,649.38 : x
  2. Step 2: Convert to fraction form
    4,113,102.38/8,912,649.38 = 8,912,649.38/x
  3. Step 3: Cross multiply
    4,113,102.38x = 8,912,649.38 × 8,912,649.38
  4. Step 4: Simplify right side
    4,113,102.38x = 79,435,318,881,687.89
  5. Step 5: Solve for x
    x = 79,435,318,881,687.89/4,113,102.38
  6. Step 6: Final answer
    x = 19,312,750.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.