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Finding the Third Proportional to 987,234 and 2,136,381

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Solution

The third proportional to 987,234 and 2,136,381 is: 4,623,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,234 : 2,136,381 = 2,136,381 : x
  2. Step 2: Convert to fraction form
    987,234/2,136,381 = 2,136,381/x
  3. Step 3: Cross multiply
    987,234x = 2,136,381 × 2,136,381
  4. Step 4: Simplify right side
    987,234x = 4,564,123,777,161
  5. Step 5: Solve for x
    x = 4,564,123,777,161/987,234
  6. Step 6: Final answer
    x = 4,623,142.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.