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Finding the Third Proportional to 612,426 and 919,251

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Solution

The third proportional to 612,426 and 919,251 is: 1,379,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,426 : 919,251 = 919,251 : x
  2. Step 2: Convert to fraction form
    612,426/919,251 = 919,251/x
  3. Step 3: Cross multiply
    612,426x = 919,251 × 919,251
  4. Step 4: Simplify right side
    612,426x = 845,022,401,001
  5. Step 5: Solve for x
    x = 845,022,401,001/612,426
  6. Step 6: Final answer
    x = 1,379,795.11

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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.