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Finding the Third Proportional to 392,136 and 586,638

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Solution

The third proportional to 392,136 and 586,638 is: 877,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,136 : 586,638 = 586,638 : x
  2. Step 2: Convert to fraction form
    392,136/586,638 = 586,638/x
  3. Step 3: Cross multiply
    392,136x = 586,638 × 586,638
  4. Step 4: Simplify right side
    392,136x = 344,144,143,044
  5. Step 5: Solve for x
    x = 344,144,143,044/392,136
  6. Step 6: Final answer
    x = 877,614.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.