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Finding the Third Proportional to 420,485 and 630,598

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Solution

The third proportional to 420,485 and 630,598 is: 945,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,485 : 630,598 = 630,598 : x
  2. Step 2: Convert to fraction form
    420,485/630,598 = 630,598/x
  3. Step 3: Cross multiply
    420,485x = 630,598 × 630,598
  4. Step 4: Simplify right side
    420,485x = 397,653,837,604
  5. Step 5: Solve for x
    x = 397,653,837,604/420,485
  6. Step 6: Final answer
    x = 945,702.79

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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.