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Finding the Third Proportional to 418,515,431.25 and 689,129,431.88

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Solution

The third proportional to 418,515,431.25 and 689,129,431.88 is: 1,134,723,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,515,431.25 : 689,129,431.88 = 689,129,431.88 : x
  2. Step 2: Convert to fraction form
    418,515,431.25/689,129,431.88 = 689,129,431.88/x
  3. Step 3: Cross multiply
    418,515,431.25x = 689,129,431.88 × 689,129,431.88
  4. Step 4: Simplify right side
    418,515,431.25x = 474,899,373,876,360,256
  5. Step 5: Solve for x
    x = 474,899,373,876,360,256/418,515,431.25
  6. Step 6: Final answer
    x = 1,134,723,688.58

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.