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Finding the Third Proportional to 280,719.50 and 431,491.75

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Solution

The third proportional to 280,719.50 and 431,491.75 is: 663,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,719.50 : 431,491.75 = 431,491.75 : x
  2. Step 2: Convert to fraction form
    280,719.50/431,491.75 = 431,491.75/x
  3. Step 3: Cross multiply
    280,719.50x = 431,491.75 × 431,491.75
  4. Step 4: Simplify right side
    280,719.50x = 186,185,130,318.06
  5. Step 5: Solve for x
    x = 186,185,130,318.06/280,719.50
  6. Step 6: Final answer
    x = 663,242.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.