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Finding the Third Proportional to 9,063 and 10,903.50

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Solution

The third proportional to 9,063 and 10,903.50 is: 13,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,063 : 10,903.50 = 10,903.50 : x
  2. Step 2: Convert to fraction form
    9,063/10,903.50 = 10,903.50/x
  3. Step 3: Cross multiply
    9,063x = 10,903.50 × 10,903.50
  4. Step 4: Simplify right side
    9,063x = 118,886,312.25
  5. Step 5: Solve for x
    x = 118,886,312.25/9,063
  6. Step 6: Final answer
    x = 13,117.77

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.