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Finding the Third Proportional to 311,136 and 643,008

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Solution

The third proportional to 311,136 and 643,008 is: 1,328,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,136 : 643,008 = 643,008 : x
  2. Step 2: Convert to fraction form
    311,136/643,008 = 643,008/x
  3. Step 3: Cross multiply
    311,136x = 643,008 × 643,008
  4. Step 4: Simplify right side
    311,136x = 413,459,288,064
  5. Step 5: Solve for x
    x = 413,459,288,064/311,136
  6. Step 6: Final answer
    x = 1,328,869.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.