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Finding the Third Proportional to 420,123 and 630,491

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Solution

The third proportional to 420,123 and 630,491 is: 946,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,123 : 630,491 = 630,491 : x
  2. Step 2: Convert to fraction form
    420,123/630,491 = 630,491/x
  3. Step 3: Cross multiply
    420,123x = 630,491 × 630,491
  4. Step 4: Simplify right side
    420,123x = 397,518,901,081
  5. Step 5: Solve for x
    x = 397,518,901,081/420,123
  6. Step 6: Final answer
    x = 946,196.47

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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.