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Finding the Third Proportional to 134,124.61 and 198,880.31

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Solution

The third proportional to 134,124.61 and 198,880.31 is: 294,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,124.61 : 198,880.31 = 198,880.31 : x
  2. Step 2: Convert to fraction form
    134,124.61/198,880.31 = 198,880.31/x
  3. Step 3: Cross multiply
    134,124.61x = 198,880.31 × 198,880.31
  4. Step 4: Simplify right side
    134,124.61x = 39,553,378,700.10
  5. Step 5: Solve for x
    x = 39,553,378,700.10/134,124.61
  6. Step 6: Final answer
    x = 294,900.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.