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Finding the Third Proportional to 60,729 and 130,530

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Solution

The third proportional to 60,729 and 130,530 is: 280,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,729 : 130,530 = 130,530 : x
  2. Step 2: Convert to fraction form
    60,729/130,530 = 130,530/x
  3. Step 3: Cross multiply
    60,729x = 130,530 × 130,530
  4. Step 4: Simplify right side
    60,729x = 17,038,080,900
  5. Step 5: Solve for x
    x = 17,038,080,900/60,729
  6. Step 6: Final answer
    x = 280,559.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.