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Finding the Third Proportional to 90,461.75 and 197,690.50

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Solution

The third proportional to 90,461.75 and 197,690.50 is: 432,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,461.75 : 197,690.50 = 197,690.50 : x
  2. Step 2: Convert to fraction form
    90,461.75/197,690.50 = 197,690.50/x
  3. Step 3: Cross multiply
    90,461.75x = 197,690.50 × 197,690.50
  4. Step 4: Simplify right side
    90,461.75x = 39,081,533,790.25
  5. Step 5: Solve for x
    x = 39,081,533,790.25/90,461.75
  6. Step 6: Final answer
    x = 432,022.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.