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Finding the Third Proportional to 403,690.50 and 548,491.50

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Solution

The third proportional to 403,690.50 and 548,491.50 is: 745,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,690.50 : 548,491.50 = 548,491.50 : x
  2. Step 2: Convert to fraction form
    403,690.50/548,491.50 = 548,491.50/x
  3. Step 3: Cross multiply
    403,690.50x = 548,491.50 × 548,491.50
  4. Step 4: Simplify right side
    403,690.50x = 300,842,925,572.25
  5. Step 5: Solve for x
    x = 300,842,925,572.25/403,690.50
  6. Step 6: Final answer
    x = 745,231.62

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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.