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Finding the Third Proportional to 272,925,078 and 644,283,519

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Solution

The third proportional to 272,925,078 and 644,283,519 is: 1,520,934,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,925,078 : 644,283,519 = 644,283,519 : x
  2. Step 2: Convert to fraction form
    272,925,078/644,283,519 = 644,283,519/x
  3. Step 3: Cross multiply
    272,925,078x = 644,283,519 × 644,283,519
  4. Step 4: Simplify right side
    272,925,078x = 415,101,252,855,023,360
  5. Step 5: Solve for x
    x = 415,101,252,855,023,360/272,925,078
  6. Step 6: Final answer
    x = 1,520,934,814.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.