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Finding the Third Proportional to 3,931,244.25 and 8,408,999.63

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Solution

The third proportional to 3,931,244.25 and 8,408,999.63 is: 17,986,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931,244.25 : 8,408,999.63 = 8,408,999.63 : x
  2. Step 2: Convert to fraction form
    3,931,244.25/8,408,999.63 = 8,408,999.63/x
  3. Step 3: Cross multiply
    3,931,244.25x = 8,408,999.63 × 8,408,999.63
  4. Step 4: Simplify right side
    3,931,244.25x = 70,711,274,693,250.14
  5. Step 5: Solve for x
    x = 70,711,274,693,250.14/3,931,244.25
  6. Step 6: Final answer
    x = 17,986,996.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.