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Finding the Third Proportional to 238,294 and 513,200

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Solution

The third proportional to 238,294 and 513,200 is: 1,105,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,294 : 513,200 = 513,200 : x
  2. Step 2: Convert to fraction form
    238,294/513,200 = 513,200/x
  3. Step 3: Cross multiply
    238,294x = 513,200 × 513,200
  4. Step 4: Simplify right side
    238,294x = 263,374,240,000
  5. Step 5: Solve for x
    x = 263,374,240,000/238,294
  6. Step 6: Final answer
    x = 1,105,249.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.