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Finding the Third Proportional to 297,408,216 and 644,225,136

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Solution

The third proportional to 297,408,216 and 644,225,136 is: 1,395,475,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,408,216 : 644,225,136 = 644,225,136 : x
  2. Step 2: Convert to fraction form
    297,408,216/644,225,136 = 644,225,136/x
  3. Step 3: Cross multiply
    297,408,216x = 644,225,136 × 644,225,136
  4. Step 4: Simplify right side
    297,408,216x = 415,026,025,854,218,496
  5. Step 5: Solve for x
    x = 415,026,025,854,218,496/297,408,216
  6. Step 6: Final answer
    x = 1,395,475,994.03

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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.