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Finding the Third Proportional to 30,715,053 and 67,215,450

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Solution

The third proportional to 30,715,053 and 67,215,450 is: 147,091,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715,053 : 67,215,450 = 67,215,450 : x
  2. Step 2: Convert to fraction form
    30,715,053/67,215,450 = 67,215,450/x
  3. Step 3: Cross multiply
    30,715,053x = 67,215,450 × 67,215,450
  4. Step 4: Simplify right side
    30,715,053x = 4,517,916,718,702,500
  5. Step 5: Solve for x
    x = 4,517,916,718,702,500/30,715,053
  6. Step 6: Final answer
    x = 147,091,288.39

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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.