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Finding the Third Proportional to 30,047 and 69,557

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Solution

The third proportional to 30,047 and 69,557 is: 161,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047 : 69,557 = 69,557 : x
  2. Step 2: Convert to fraction form
    30,047/69,557 = 69,557/x
  3. Step 3: Cross multiply
    30,047x = 69,557 × 69,557
  4. Step 4: Simplify right side
    30,047x = 4,838,176,249
  5. Step 5: Solve for x
    x = 4,838,176,249/30,047
  6. Step 6: Final answer
    x = 161,020.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.