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Finding the Third Proportional to 30,098 and 45,911

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Solution

The third proportional to 30,098 and 45,911 is: 70,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098 : 45,911 = 45,911 : x
  2. Step 2: Convert to fraction form
    30,098/45,911 = 45,911/x
  3. Step 3: Cross multiply
    30,098x = 45,911 × 45,911
  4. Step 4: Simplify right side
    30,098x = 2,107,819,921
  5. Step 5: Solve for x
    x = 2,107,819,921/30,098
  6. Step 6: Final answer
    x = 70,031.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.