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Finding the Third Proportional to 280,153.13 and 420,516.56

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Solution

The third proportional to 280,153.13 and 420,516.56 is: 631,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,153.13 : 420,516.56 = 420,516.56 : x
  2. Step 2: Convert to fraction form
    280,153.13/420,516.56 = 420,516.56/x
  3. Step 3: Cross multiply
    280,153.13x = 420,516.56 × 420,516.56
  4. Step 4: Simplify right side
    280,153.13x = 176,834,179,336.82
  5. Step 5: Solve for x
    x = 176,834,179,336.82/280,153.13
  6. Step 6: Final answer
    x = 631,205.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.