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Finding the Third Proportional to 280,080 and 420,323.63

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Solution

The third proportional to 280,080 and 420,323.63 is: 630,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,080 : 420,323.63 = 420,323.63 : x
  2. Step 2: Convert to fraction form
    280,080/420,323.63 = 420,323.63/x
  3. Step 3: Cross multiply
    280,080x = 420,323.63 × 420,323.63
  4. Step 4: Simplify right side
    280,080x = 176,671,949,733.14
  5. Step 5: Solve for x
    x = 176,671,949,733.14/280,080
  6. Step 6: Final answer
    x = 630,791.02

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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.