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Finding the Third Proportional to 128,915.30 and 196,710.40

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Solution

The third proportional to 128,915.30 and 196,710.40 is: 300,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,915.30 : 196,710.40 = 196,710.40 : x
  2. Step 2: Convert to fraction form
    128,915.30/196,710.40 = 196,710.40/x
  3. Step 3: Cross multiply
    128,915.30x = 196,710.40 × 196,710.40
  4. Step 4: Simplify right side
    128,915.30x = 38,694,980,853.44
  5. Step 5: Solve for x
    x = 38,694,980,853.44/128,915.30
  6. Step 6: Final answer
    x = 300,158.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.