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Finding the Third Proportional to 30,496,900 and 66,965,768

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Solution

The third proportional to 30,496,900 and 66,965,768 is: 147,044,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496,900 : 66,965,768 = 66,965,768 : x
  2. Step 2: Convert to fraction form
    30,496,900/66,965,768 = 66,965,768/x
  3. Step 3: Cross multiply
    30,496,900x = 66,965,768 × 66,965,768
  4. Step 4: Simplify right side
    30,496,900x = 4,484,414,083,829,824
  5. Step 5: Solve for x
    x = 4,484,414,083,829,824/30,496,900
  6. Step 6: Final answer
    x = 147,044,915.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.