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Finding the Third Proportional to 457,561,093.50 and 644,346,847.69

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Solution

The third proportional to 457,561,093.50 and 644,346,847.69 is: 907,382,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,561,093.50 : 644,346,847.69 = 644,346,847.69 : x
  2. Step 2: Convert to fraction form
    457,561,093.50/644,346,847.69 = 644,346,847.69/x
  3. Step 3: Cross multiply
    457,561,093.50x = 644,346,847.69 × 644,346,847.69
  4. Step 4: Simplify right side
    457,561,093.50x = 415,182,860,124,818,304
  5. Step 5: Solve for x
    x = 415,182,860,124,818,304/457,561,093.50
  6. Step 6: Final answer
    x = 907,382,349.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.