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Finding the Third Proportional to 61,411.50 and 130,203.56

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Solution

The third proportional to 61,411.50 and 130,203.56 is: 276,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,411.50 : 130,203.56 = 130,203.56 : x
  2. Step 2: Convert to fraction form
    61,411.50/130,203.56 = 130,203.56/x
  3. Step 3: Cross multiply
    61,411.50x = 130,203.56 × 130,203.56
  4. Step 4: Simplify right side
    61,411.50x = 16,952,967,687.69
  5. Step 5: Solve for x
    x = 16,952,967,687.69/61,411.50
  6. Step 6: Final answer
    x = 276,055.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.