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Finding the Third Proportional to 130,450.50 and 186,106.50

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Solution

The third proportional to 130,450.50 and 186,106.50 is: 265,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,450.50 : 186,106.50 = 186,106.50 : x
  2. Step 2: Convert to fraction form
    130,450.50/186,106.50 = 186,106.50/x
  3. Step 3: Cross multiply
    130,450.50x = 186,106.50 × 186,106.50
  4. Step 4: Simplify right side
    130,450.50x = 34,635,629,342.25
  5. Step 5: Solve for x
    x = 34,635,629,342.25/130,450.50
  6. Step 6: Final answer
    x = 265,507.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.