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Finding the Third Proportional to 617,631.75 and 922,811.91

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Solution

The third proportional to 617,631.75 and 922,811.91 is: 1,378,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,631.75 : 922,811.91 = 922,811.91 : x
  2. Step 2: Convert to fraction form
    617,631.75/922,811.91 = 922,811.91/x
  3. Step 3: Cross multiply
    617,631.75x = 922,811.91 × 922,811.91
  4. Step 4: Simplify right side
    617,631.75x = 851,581,814,316.76
  5. Step 5: Solve for x
    x = 851,581,814,316.76/617,631.75
  6. Step 6: Final answer
    x = 1,378,785.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.