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Finding the Third Proportional to 309,376 and 492,282

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Solution

The third proportional to 309,376 and 492,282 is: 783,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,376 : 492,282 = 492,282 : x
  2. Step 2: Convert to fraction form
    309,376/492,282 = 492,282/x
  3. Step 3: Cross multiply
    309,376x = 492,282 × 492,282
  4. Step 4: Simplify right side
    309,376x = 242,341,567,524
  5. Step 5: Solve for x
    x = 242,341,567,524/309,376
  6. Step 6: Final answer
    x = 783,323.75

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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.