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Finding the Third Proportional to 197,376.75 and 288,068.91

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Solution

The third proportional to 197,376.75 and 288,068.91 is: 420,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,376.75 : 288,068.91 = 288,068.91 : x
  2. Step 2: Convert to fraction form
    197,376.75/288,068.91 = 288,068.91/x
  3. Step 3: Cross multiply
    197,376.75x = 288,068.91 × 288,068.91
  4. Step 4: Simplify right side
    197,376.75x = 82,983,694,748.07
  5. Step 5: Solve for x
    x = 82,983,694,748.07/197,376.75
  6. Step 6: Final answer
    x = 420,432.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.