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Finding the Third Proportional to 213,920 and 339,024

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Solution

The third proportional to 213,920 and 339,024 is: 537,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,920 : 339,024 = 339,024 : x
  2. Step 2: Convert to fraction form
    213,920/339,024 = 339,024/x
  3. Step 3: Cross multiply
    213,920x = 339,024 × 339,024
  4. Step 4: Simplify right side
    213,920x = 114,937,272,576
  5. Step 5: Solve for x
    x = 114,937,272,576/213,920
  6. Step 6: Final answer
    x = 537,290.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.