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Finding the Third Proportional to 9,576 and 22,927.50

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Solution

The third proportional to 9,576 and 22,927.50 is: 54,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 22,927.50 = 22,927.50 : x
  2. Step 2: Convert to fraction form
    9,576/22,927.50 = 22,927.50/x
  3. Step 3: Cross multiply
    9,576x = 22,927.50 × 22,927.50
  4. Step 4: Simplify right side
    9,576x = 525,670,256.25
  5. Step 5: Solve for x
    x = 525,670,256.25/9,576
  6. Step 6: Final answer
    x = 54,894.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.