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Finding the Third Proportional to 30,390 and 63,851

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Solution

The third proportional to 30,390 and 63,851 is: 134,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390 : 63,851 = 63,851 : x
  2. Step 2: Convert to fraction form
    30,390/63,851 = 63,851/x
  3. Step 3: Cross multiply
    30,390x = 63,851 × 63,851
  4. Step 4: Simplify right side
    30,390x = 4,076,950,201
  5. Step 5: Solve for x
    x = 4,076,950,201/30,390
  6. Step 6: Final answer
    x = 134,154.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.