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Finding the Third Proportional to 35,918,100 and 78,789,425

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Solution

The third proportional to 35,918,100 and 78,789,425 is: 172,831,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,918,100 : 78,789,425 = 78,789,425 : x
  2. Step 2: Convert to fraction form
    35,918,100/78,789,425 = 78,789,425/x
  3. Step 3: Cross multiply
    35,918,100x = 78,789,425 × 78,789,425
  4. Step 4: Simplify right side
    35,918,100x = 6,207,773,491,830,625
  5. Step 5: Solve for x
    x = 6,207,773,491,830,625/35,918,100
  6. Step 6: Final answer
    x = 172,831,343.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.