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Finding the Third Proportional to 297,403,716 and 644,216,136

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Solution

The third proportional to 297,403,716 and 644,216,136 is: 1,395,458,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,403,716 : 644,216,136 = 644,216,136 : x
  2. Step 2: Convert to fraction form
    297,403,716/644,216,136 = 644,216,136/x
  3. Step 3: Cross multiply
    297,403,716x = 644,216,136 × 644,216,136
  4. Step 4: Simplify right side
    297,403,716x = 415,014,429,882,770,496
  5. Step 5: Solve for x
    x = 415,014,429,882,770,496/297,403,716
  6. Step 6: Final answer
    x = 1,395,458,118.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.