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Finding the Third Proportional to 30,681,429 and 68,173,314

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Solution

The third proportional to 30,681,429 and 68,173,314 is: 151,479,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681,429 : 68,173,314 = 68,173,314 : x
  2. Step 2: Convert to fraction form
    30,681,429/68,173,314 = 68,173,314/x
  3. Step 3: Cross multiply
    30,681,429x = 68,173,314 × 68,173,314
  4. Step 4: Simplify right side
    30,681,429x = 4,647,600,741,742,596
  5. Step 5: Solve for x
    x = 4,647,600,741,742,596/30,681,429
  6. Step 6: Final answer
    x = 151,479,278.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.