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Finding the Third Proportional to 31,345,970 and 66,484,698

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Solution

The third proportional to 31,345,970 and 66,484,698 is: 141,013,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,345,970 : 66,484,698 = 66,484,698 : x
  2. Step 2: Convert to fraction form
    31,345,970/66,484,698 = 66,484,698/x
  3. Step 3: Cross multiply
    31,345,970x = 66,484,698 × 66,484,698
  4. Step 4: Simplify right side
    31,345,970x = 4,420,215,068,151,204
  5. Step 5: Solve for x
    x = 4,420,215,068,151,204/31,345,970
  6. Step 6: Final answer
    x = 141,013,823.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.