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Finding the Third Proportional to 11,643 and 18,444.50

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Solution

The third proportional to 11,643 and 18,444.50 is: 29,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643 : 18,444.50 = 18,444.50 : x
  2. Step 2: Convert to fraction form
    11,643/18,444.50 = 18,444.50/x
  3. Step 3: Cross multiply
    11,643x = 18,444.50 × 18,444.50
  4. Step 4: Simplify right side
    11,643x = 340,199,580.25
  5. Step 5: Solve for x
    x = 340,199,580.25/11,643
  6. Step 6: Final answer
    x = 29,219.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.