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Finding the Third Proportional to 130,506.75 and 198,495

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Solution

The third proportional to 130,506.75 and 198,495 is: 301,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,506.75 : 198,495 = 198,495 : x
  2. Step 2: Convert to fraction form
    130,506.75/198,495 = 198,495/x
  3. Step 3: Cross multiply
    130,506.75x = 198,495 × 198,495
  4. Step 4: Simplify right side
    130,506.75x = 39,400,265,025
  5. Step 5: Solve for x
    x = 39,400,265,025/130,506.75
  6. Step 6: Final answer
    x = 301,902.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.