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Finding the Third Proportional to 129,616 and 278,024

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Solution

The third proportional to 129,616 and 278,024 is: 596,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,616 : 278,024 = 278,024 : x
  2. Step 2: Convert to fraction form
    129,616/278,024 = 278,024/x
  3. Step 3: Cross multiply
    129,616x = 278,024 × 278,024
  4. Step 4: Simplify right side
    129,616x = 77,297,344,576
  5. Step 5: Solve for x
    x = 77,297,344,576/129,616
  6. Step 6: Final answer
    x = 596,356.50

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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.