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Finding the Third Proportional to 30,542,974 and 65,868,134

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Solution

The third proportional to 30,542,974 and 65,868,134 is: 142,049,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542,974 : 65,868,134 = 65,868,134 : x
  2. Step 2: Convert to fraction form
    30,542,974/65,868,134 = 65,868,134/x
  3. Step 3: Cross multiply
    30,542,974x = 65,868,134 × 65,868,134
  4. Step 4: Simplify right side
    30,542,974x = 4,338,611,076,641,956
  5. Step 5: Solve for x
    x = 4,338,611,076,641,956/30,542,974
  6. Step 6: Final answer
    x = 142,049,398.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.