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Finding the Third Proportional to 34,777,448 and 75,533,628

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Solution

The third proportional to 34,777,448 and 75,533,628 is: 164,052,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,777,448 : 75,533,628 = 75,533,628 : x
  2. Step 2: Convert to fraction form
    34,777,448/75,533,628 = 75,533,628/x
  3. Step 3: Cross multiply
    34,777,448x = 75,533,628 × 75,533,628
  4. Step 4: Simplify right side
    34,777,448x = 5,705,328,958,842,384
  5. Step 5: Solve for x
    x = 5,705,328,958,842,384/34,777,448
  6. Step 6: Final answer
    x = 164,052,548.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.