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Finding the Third Proportional to 30,381 and 40,897.50

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Solution

The third proportional to 30,381 and 40,897.50 is: 55,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381 : 40,897.50 = 40,897.50 : x
  2. Step 2: Convert to fraction form
    30,381/40,897.50 = 40,897.50/x
  3. Step 3: Cross multiply
    30,381x = 40,897.50 × 40,897.50
  4. Step 4: Simplify right side
    30,381x = 1,672,605,506.25
  5. Step 5: Solve for x
    x = 1,672,605,506.25/30,381
  6. Step 6: Final answer
    x = 55,054.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.