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Finding the Third Proportional to 407,635.50 and 553,558.31

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Solution

The third proportional to 407,635.50 and 553,558.31 is: 751,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,635.50 : 553,558.31 = 553,558.31 : x
  2. Step 2: Convert to fraction form
    407,635.50/553,558.31 = 553,558.31/x
  3. Step 3: Cross multiply
    407,635.50x = 553,558.31 × 553,558.31
  4. Step 4: Simplify right side
    407,635.50x = 306,426,805,337.85
  5. Step 5: Solve for x
    x = 306,426,805,337.85/407,635.50
  6. Step 6: Final answer
    x = 751,717.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.