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Finding the Third Proportional to 305,457 and 671,136

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Solution

The third proportional to 305,457 and 671,136 is: 1,474,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,457 : 671,136 = 671,136 : x
  2. Step 2: Convert to fraction form
    305,457/671,136 = 671,136/x
  3. Step 3: Cross multiply
    305,457x = 671,136 × 671,136
  4. Step 4: Simplify right side
    305,457x = 450,423,530,496
  5. Step 5: Solve for x
    x = 450,423,530,496/305,457
  6. Step 6: Final answer
    x = 1,474,588.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.