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Finding the Third Proportional to 31,211,130 and 67,024,148

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Solution

The third proportional to 31,211,130 and 67,024,148 is: 143,930,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211,130 : 67,024,148 = 67,024,148 : x
  2. Step 2: Convert to fraction form
    31,211,130/67,024,148 = 67,024,148/x
  3. Step 3: Cross multiply
    31,211,130x = 67,024,148 × 67,024,148
  4. Step 4: Simplify right side
    31,211,130x = 4,492,236,415,125,904
  5. Step 5: Solve for x
    x = 4,492,236,415,125,904/31,211,130
  6. Step 6: Final answer
    x = 143,930,591.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.