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Finding the Third Proportional to 399,074.34 and 619,596.84

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Solution

The third proportional to 399,074.34 and 619,596.84 is: 961,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,074.34 : 619,596.84 = 619,596.84 : x
  2. Step 2: Convert to fraction form
    399,074.34/619,596.84 = 619,596.84/x
  3. Step 3: Cross multiply
    399,074.34x = 619,596.84 × 619,596.84
  4. Step 4: Simplify right side
    399,074.34x = 383,900,248,784.96
  5. Step 5: Solve for x
    x = 383,900,248,784.96/399,074.34
  6. Step 6: Final answer
    x = 961,976.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.