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Finding the Third Proportional to 280,509 and 420,726

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Solution

The third proportional to 280,509 and 420,726 is: 631,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,509 : 420,726 = 420,726 : x
  2. Step 2: Convert to fraction form
    280,509/420,726 = 420,726/x
  3. Step 3: Cross multiply
    280,509x = 420,726 × 420,726
  4. Step 4: Simplify right side
    280,509x = 177,010,367,076
  5. Step 5: Solve for x
    x = 177,010,367,076/280,509
  6. Step 6: Final answer
    x = 631,032.76

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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.