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Finding the Third Proportional to 8,946.56 and 13,111.88

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Solution

The third proportional to 8,946.56 and 13,111.88 is: 19,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.56 : 13,111.88 = 13,111.88 : x
  2. Step 2: Convert to fraction form
    8,946.56/13,111.88 = 13,111.88/x
  3. Step 3: Cross multiply
    8,946.56x = 13,111.88 × 13,111.88
  4. Step 4: Simplify right side
    8,946.56x = 171,921,266.02
  5. Step 5: Solve for x
    x = 171,921,266.02/8,946.56
  6. Step 6: Final answer
    x = 19,216.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.