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Finding the Third Proportional to 30,897 and 72,011.25

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Solution

The third proportional to 30,897 and 72,011.25 is: 167,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897 : 72,011.25 = 72,011.25 : x
  2. Step 2: Convert to fraction form
    30,897/72,011.25 = 72,011.25/x
  3. Step 3: Cross multiply
    30,897x = 72,011.25 × 72,011.25
  4. Step 4: Simplify right side
    30,897x = 5,185,620,126.56
  5. Step 5: Solve for x
    x = 5,185,620,126.56/30,897
  6. Step 6: Final answer
    x = 167,835.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.