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Finding the Third Proportional to 30,291,516 and 65,201,975

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Solution

The third proportional to 30,291,516 and 65,201,975 is: 140,346,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,516 : 65,201,975 = 65,201,975 : x
  2. Step 2: Convert to fraction form
    30,291,516/65,201,975 = 65,201,975/x
  3. Step 3: Cross multiply
    30,291,516x = 65,201,975 × 65,201,975
  4. Step 4: Simplify right side
    30,291,516x = 4,251,297,543,900,625
  5. Step 5: Solve for x
    x = 4,251,297,543,900,625/30,291,516
  6. Step 6: Final answer
    x = 140,346,146.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.