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Finding the Third Proportional to 238,200 and 513,792

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Solution

The third proportional to 238,200 and 513,792 is: 1,108,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,200 : 513,792 = 513,792 : x
  2. Step 2: Convert to fraction form
    238,200/513,792 = 513,792/x
  3. Step 3: Cross multiply
    238,200x = 513,792 × 513,792
  4. Step 4: Simplify right side
    238,200x = 263,982,219,264
  5. Step 5: Solve for x
    x = 263,982,219,264/238,200
  6. Step 6: Final answer
    x = 1,108,237.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.