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Finding the Third Proportional to 212,623 and 342,588

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Solution

The third proportional to 212,623 and 342,588 is: 551,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,623 : 342,588 = 342,588 : x
  2. Step 2: Convert to fraction form
    212,623/342,588 = 342,588/x
  3. Step 3: Cross multiply
    212,623x = 342,588 × 342,588
  4. Step 4: Simplify right side
    212,623x = 117,366,537,744
  5. Step 5: Solve for x
    x = 117,366,537,744/212,623
  6. Step 6: Final answer
    x = 551,993.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.