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Finding the Third Proportional to 30,715,086 and 67,215,516

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Solution

The third proportional to 30,715,086 and 67,215,516 is: 147,091,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715,086 : 67,215,516 = 67,215,516 : x
  2. Step 2: Convert to fraction form
    30,715,086/67,215,516 = 67,215,516/x
  3. Step 3: Cross multiply
    30,715,086x = 67,215,516 × 67,215,516
  4. Step 4: Simplify right side
    30,715,086x = 4,517,925,591,146,256
  5. Step 5: Solve for x
    x = 4,517,925,591,146,256/30,715,086
  6. Step 6: Final answer
    x = 147,091,419.22

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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.