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Finding the Third Proportional to 30,768 and 47,792

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Solution

The third proportional to 30,768 and 47,792 is: 74,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768 : 47,792 = 47,792 : x
  2. Step 2: Convert to fraction form
    30,768/47,792 = 47,792/x
  3. Step 3: Cross multiply
    30,768x = 47,792 × 47,792
  4. Step 4: Simplify right side
    30,768x = 2,284,075,264
  5. Step 5: Solve for x
    x = 2,284,075,264/30,768
  6. Step 6: Final answer
    x = 74,235.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.