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Finding the Third Proportional to 55,664,456 and 78,387,692

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Solution

The third proportional to 55,664,456 and 78,387,692 is: 110,386,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,664,456 : 78,387,692 = 78,387,692 : x
  2. Step 2: Convert to fraction form
    55,664,456/78,387,692 = 78,387,692/x
  3. Step 3: Cross multiply
    55,664,456x = 78,387,692 × 78,387,692
  4. Step 4: Simplify right side
    55,664,456x = 6,144,630,257,086,864
  5. Step 5: Solve for x
    x = 6,144,630,257,086,864/55,664,456
  6. Step 6: Final answer
    x = 110,386,963.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.