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Finding the Third Proportional to 30,715,076 and 67,215,496

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Solution

The third proportional to 30,715,076 and 67,215,496 is: 147,091,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715,076 : 67,215,496 = 67,215,496 : x
  2. Step 2: Convert to fraction form
    30,715,076/67,215,496 = 67,215,496/x
  3. Step 3: Cross multiply
    30,715,076x = 67,215,496 × 67,215,496
  4. Step 4: Simplify right side
    30,715,076x = 4,517,922,902,526,016
  5. Step 5: Solve for x
    x = 4,517,922,902,526,016/30,715,076
  6. Step 6: Final answer
    x = 147,091,379.57

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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.