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Finding the Third Proportional to 630,406 and 946,257

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Solution

The third proportional to 630,406 and 946,257 is: 1,420,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,406 : 946,257 = 946,257 : x
  2. Step 2: Convert to fraction form
    630,406/946,257 = 946,257/x
  3. Step 3: Cross multiply
    630,406x = 946,257 × 946,257
  4. Step 4: Simplify right side
    630,406x = 895,402,310,049
  5. Step 5: Solve for x
    x = 895,402,310,049/630,406
  6. Step 6: Final answer
    x = 1,420,358.17

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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.