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Finding the Third Proportional to 130,880 and 207,579

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Solution

The third proportional to 130,880 and 207,579 is: 329,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,880 : 207,579 = 207,579 : x
  2. Step 2: Convert to fraction form
    130,880/207,579 = 207,579/x
  3. Step 3: Cross multiply
    130,880x = 207,579 × 207,579
  4. Step 4: Simplify right side
    130,880x = 43,089,041,241
  5. Step 5: Solve for x
    x = 43,089,041,241/130,880
  6. Step 6: Final answer
    x = 329,225.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.