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Finding the Third Proportional to 3,910,302.50 and 8,178,122.50

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Solution

The third proportional to 3,910,302.50 and 8,178,122.50 is: 17,103,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910,302.50 : 8,178,122.50 = 8,178,122.50 : x
  2. Step 2: Convert to fraction form
    3,910,302.50/8,178,122.50 = 8,178,122.50/x
  3. Step 3: Cross multiply
    3,910,302.50x = 8,178,122.50 × 8,178,122.50
  4. Step 4: Simplify right side
    3,910,302.50x = 66,881,687,625,006.25
  5. Step 5: Solve for x
    x = 66,881,687,625,006.25/3,910,302.50
  6. Step 6: Final answer
    x = 17,103,967.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.