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Finding the Third Proportional to 307,008 and 665,136

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Solution

The third proportional to 307,008 and 665,136 is: 1,441,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,008 : 665,136 = 665,136 : x
  2. Step 2: Convert to fraction form
    307,008/665,136 = 665,136/x
  3. Step 3: Cross multiply
    307,008x = 665,136 × 665,136
  4. Step 4: Simplify right side
    307,008x = 442,405,898,496
  5. Step 5: Solve for x
    x = 442,405,898,496/307,008
  6. Step 6: Final answer
    x = 1,441,024.01

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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.