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Finding the Third Proportional to 630,346 and 946,166

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Solution

The third proportional to 630,346 and 946,166 is: 1,420,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,346 : 946,166 = 946,166 : x
  2. Step 2: Convert to fraction form
    630,346/946,166 = 946,166/x
  3. Step 3: Cross multiply
    630,346x = 946,166 × 946,166
  4. Step 4: Simplify right side
    630,346x = 895,230,099,556
  5. Step 5: Solve for x
    x = 895,230,099,556/630,346
  6. Step 6: Final answer
    x = 1,420,220.16

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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.