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Finding the Third Proportional to 59,830 and 129,565

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Solution

The third proportional to 59,830 and 129,565 is: 280,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,830 : 129,565 = 129,565 : x
  2. Step 2: Convert to fraction form
    59,830/129,565 = 129,565/x
  3. Step 3: Cross multiply
    59,830x = 129,565 × 129,565
  4. Step 4: Simplify right side
    59,830x = 16,787,089,225
  5. Step 5: Solve for x
    x = 16,787,089,225/59,830
  6. Step 6: Final answer
    x = 280,579.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.