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Finding the Third Proportional to 400,802,478 and 620,597,169

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Solution

The third proportional to 400,802,478 and 620,597,169 is: 960,924,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,802,478 : 620,597,169 = 620,597,169 : x
  2. Step 2: Convert to fraction form
    400,802,478/620,597,169 = 620,597,169/x
  3. Step 3: Cross multiply
    400,802,478x = 620,597,169 × 620,597,169
  4. Step 4: Simplify right side
    400,802,478x = 385,140,846,170,814,592
  5. Step 5: Solve for x
    x = 385,140,846,170,814,592/400,802,478
  6. Step 6: Final answer
    x = 960,924,313.87

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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.