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Finding the Third Proportional to 54,138 and 130,423.50

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Solution

The third proportional to 54,138 and 130,423.50 is: 314,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138 : 130,423.50 = 130,423.50 : x
  2. Step 2: Convert to fraction form
    54,138/130,423.50 = 130,423.50/x
  3. Step 3: Cross multiply
    54,138x = 130,423.50 × 130,423.50
  4. Step 4: Simplify right side
    54,138x = 17,010,289,352.25
  5. Step 5: Solve for x
    x = 17,010,289,352.25/54,138
  6. Step 6: Final answer
    x = 314,202.40

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.