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Finding the Third Proportional to 306,986,870 and 472,337,247

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Solution

The third proportional to 306,986,870 and 472,337,247 is: 726,749,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,986,870 : 472,337,247 = 472,337,247 : x
  2. Step 2: Convert to fraction form
    306,986,870/472,337,247 = 472,337,247/x
  3. Step 3: Cross multiply
    306,986,870x = 472,337,247 × 472,337,247
  4. Step 4: Simplify right side
    306,986,870x = 223,102,474,903,539,008
  5. Step 5: Solve for x
    x = 223,102,474,903,539,008/306,986,870
  6. Step 6: Final answer
    x = 726,749,241.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.