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Finding the Third Proportional to 134,915.63 and 290,242.13

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Solution

The third proportional to 134,915.63 and 290,242.13 is: 624,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,915.63 : 290,242.13 = 290,242.13 : x
  2. Step 2: Convert to fraction form
    134,915.63/290,242.13 = 290,242.13/x
  3. Step 3: Cross multiply
    134,915.63x = 290,242.13 × 290,242.13
  4. Step 4: Simplify right side
    134,915.63x = 84,240,491,124.52
  5. Step 5: Solve for x
    x = 84,240,491,124.52/134,915.63
  6. Step 6: Final answer
    x = 624,393.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.