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Finding the Third Proportional to 30,135,005 and 65,407,270.50

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Solution

The third proportional to 30,135,005 and 65,407,270.50 is: 141,964,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135,005 : 65,407,270.50 = 65,407,270.50 : x
  2. Step 2: Convert to fraction form
    30,135,005/65,407,270.50 = 65,407,270.50/x
  3. Step 3: Cross multiply
    30,135,005x = 65,407,270.50 × 65,407,270.50
  4. Step 4: Simplify right side
    30,135,005x = 4,278,111,034,260,170
  5. Step 5: Solve for x
    x = 4,278,111,034,260,170/30,135,005
  6. Step 6: Final answer
    x = 141,964,835.72

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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.