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Finding the Third Proportional to 280,310 and 630,791

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Solution

The third proportional to 280,310 and 630,791 is: 1,419,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,310 : 630,791 = 630,791 : x
  2. Step 2: Convert to fraction form
    280,310/630,791 = 630,791/x
  3. Step 3: Cross multiply
    280,310x = 630,791 × 630,791
  4. Step 4: Simplify right side
    280,310x = 397,897,285,681
  5. Step 5: Solve for x
    x = 397,897,285,681/280,310
  6. Step 6: Final answer
    x = 1,419,490.16

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.