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Finding the Third Proportional to 420,284 and 630,860

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Solution

The third proportional to 420,284 and 630,860 is: 946,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,284 : 630,860 = 630,860 : x
  2. Step 2: Convert to fraction form
    420,284/630,860 = 630,860/x
  3. Step 3: Cross multiply
    420,284x = 630,860 × 630,860
  4. Step 4: Simplify right side
    420,284x = 397,984,339,600
  5. Step 5: Solve for x
    x = 397,984,339,600/420,284
  6. Step 6: Final answer
    x = 946,941.45

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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.