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Finding the Third Proportional to 430,933,860 and 668,631,644

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Solution

The third proportional to 430,933,860 and 668,631,644 is: 1,037,440,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,933,860 : 668,631,644 = 668,631,644 : x
  2. Step 2: Convert to fraction form
    430,933,860/668,631,644 = 668,631,644/x
  3. Step 3: Cross multiply
    430,933,860x = 668,631,644 × 668,631,644
  4. Step 4: Simplify right side
    430,933,860x = 447,068,275,358,142,720
  5. Step 5: Solve for x
    x = 447,068,275,358,142,720/430,933,860
  6. Step 6: Final answer
    x = 1,037,440,583.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.