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Finding the Third Proportional to 280,725 and 420,723

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Solution

The third proportional to 280,725 and 420,723 is: 630,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,725 : 420,723 = 420,723 : x
  2. Step 2: Convert to fraction form
    280,725/420,723 = 420,723/x
  3. Step 3: Cross multiply
    280,725x = 420,723 × 420,723
  4. Step 4: Simplify right side
    280,725x = 177,007,842,729
  5. Step 5: Solve for x
    x = 177,007,842,729/280,725
  6. Step 6: Final answer
    x = 630,538.22

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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.