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Finding the Third Proportional to 52,426,839 and 78,640,266

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Solution

The third proportional to 52,426,839 and 78,640,266 is: 117,960,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,426,839 : 78,640,266 = 78,640,266 : x
  2. Step 2: Convert to fraction form
    52,426,839/78,640,266 = 78,640,266/x
  3. Step 3: Cross multiply
    52,426,839x = 78,640,266 × 78,640,266
  4. Step 4: Simplify right side
    52,426,839x = 6,184,291,436,550,756
  5. Step 5: Solve for x
    x = 6,184,291,436,550,756/52,426,839
  6. Step 6: Final answer
    x = 117,960,410.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.