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Finding the Third Proportional to 30,395 and 45,791

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Solution

The third proportional to 30,395 and 45,791 is: 68,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,395 : 45,791 = 45,791 : x
  2. Step 2: Convert to fraction form
    30,395/45,791 = 45,791/x
  3. Step 3: Cross multiply
    30,395x = 45,791 × 45,791
  4. Step 4: Simplify right side
    30,395x = 2,096,815,681
  5. Step 5: Solve for x
    x = 2,096,815,681/30,395
  6. Step 6: Final answer
    x = 68,985.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.