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Finding the Third Proportional to 612,418 and 919,239

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Solution

The third proportional to 612,418 and 919,239 is: 1,379,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,418 : 919,239 = 919,239 : x
  2. Step 2: Convert to fraction form
    612,418/919,239 = 919,239/x
  3. Step 3: Cross multiply
    612,418x = 919,239 × 919,239
  4. Step 4: Simplify right side
    612,418x = 845,000,339,121
  5. Step 5: Solve for x
    x = 845,000,339,121/612,418
  6. Step 6: Final answer
    x = 1,379,777.11

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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.