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Finding the Third Proportional to 309,394 and 492,311

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Solution

The third proportional to 309,394 and 492,311 is: 783,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,394 : 492,311 = 492,311 : x
  2. Step 2: Convert to fraction form
    309,394/492,311 = 492,311/x
  3. Step 3: Cross multiply
    309,394x = 492,311 × 492,311
  4. Step 4: Simplify right side
    309,394x = 242,370,120,721
  5. Step 5: Solve for x
    x = 242,370,120,721/309,394
  6. Step 6: Final answer
    x = 783,370.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.