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Finding the Third Proportional to 917,224 and 1,321,136

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Solution

The third proportional to 917,224 and 1,321,136 is: 1,902,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,224 : 1,321,136 = 1,321,136 : x
  2. Step 2: Convert to fraction form
    917,224/1,321,136 = 1,321,136/x
  3. Step 3: Cross multiply
    917,224x = 1,321,136 × 1,321,136
  4. Step 4: Simplify right side
    917,224x = 1,745,400,330,496
  5. Step 5: Solve for x
    x = 1,745,400,330,496/917,224
  6. Step 6: Final answer
    x = 1,902,916.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.