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Finding the Third Proportional to 135,421 and 285,664

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Solution

The third proportional to 135,421 and 285,664 is: 602,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,421 : 285,664 = 285,664 : x
  2. Step 2: Convert to fraction form
    135,421/285,664 = 285,664/x
  3. Step 3: Cross multiply
    135,421x = 285,664 × 285,664
  4. Step 4: Simplify right side
    135,421x = 81,603,920,896
  5. Step 5: Solve for x
    x = 81,603,920,896/135,421
  6. Step 6: Final answer
    x = 602,594.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.