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Finding the Third Proportional to 644,500,824 and 985,248,913

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Solution

The third proportional to 644,500,824 and 985,248,913 is: 1,506,150,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,500,824 : 985,248,913 = 985,248,913 : x
  2. Step 2: Convert to fraction form
    644,500,824/985,248,913 = 985,248,913/x
  3. Step 3: Cross multiply
    644,500,824x = 985,248,913 × 985,248,913
  4. Step 4: Simplify right side
    644,500,824x = 970,715,420,567,681,536
  5. Step 5: Solve for x
    x = 970,715,420,567,681,536/644,500,824
  6. Step 6: Final answer
    x = 1,506,150,782.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.