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Finding the Third Proportional to 309,400 and 492,316

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Solution

The third proportional to 309,400 and 492,316 is: 783,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,400 : 492,316 = 492,316 : x
  2. Step 2: Convert to fraction form
    309,400/492,316 = 492,316/x
  3. Step 3: Cross multiply
    309,400x = 492,316 × 492,316
  4. Step 4: Simplify right side
    309,400x = 242,375,043,856
  5. Step 5: Solve for x
    x = 242,375,043,856/309,400
  6. Step 6: Final answer
    x = 783,371.18

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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.