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Finding the Third Proportional to 258,136 and 553,638

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Solution

The third proportional to 258,136 and 553,638 is: 1,187,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,136 : 553,638 = 553,638 : x
  2. Step 2: Convert to fraction form
    258,136/553,638 = 553,638/x
  3. Step 3: Cross multiply
    258,136x = 553,638 × 553,638
  4. Step 4: Simplify right side
    258,136x = 306,515,035,044
  5. Step 5: Solve for x
    x = 306,515,035,044/258,136
  6. Step 6: Final answer
    x = 1,187,416.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.