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Finding the Third Proportional to 78,656,512 and 109,365,593

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Solution

The third proportional to 78,656,512 and 109,365,593 is: 152,064,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,656,512 : 109,365,593 = 109,365,593 : x
  2. Step 2: Convert to fraction form
    78,656,512/109,365,593 = 109,365,593/x
  3. Step 3: Cross multiply
    78,656,512x = 109,365,593 × 109,365,593
  4. Step 4: Simplify right side
    78,656,512x = 11,960,832,932,241,648
  5. Step 5: Solve for x
    x = 11,960,832,932,241,648/78,656,512
  6. Step 6: Final answer
    x = 152,064,115.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.