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Finding the Third Proportional to 499,167,031.50 and 778,969,221.75

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Solution

The third proportional to 499,167,031.50 and 778,969,221.75 is: 1,215,611,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,167,031.50 : 778,969,221.75 = 778,969,221.75 : x
  2. Step 2: Convert to fraction form
    499,167,031.50/778,969,221.75 = 778,969,221.75/x
  3. Step 3: Cross multiply
    499,167,031.50x = 778,969,221.75 × 778,969,221.75
  4. Step 4: Simplify right side
    499,167,031.50x = 606,793,048,433,800,704
  5. Step 5: Solve for x
    x = 606,793,048,433,800,704/499,167,031.50
  6. Step 6: Final answer
    x = 1,215,611,228.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.