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Finding the Third Proportional to 12,943 and 20,422.50

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Solution

The third proportional to 12,943 and 20,422.50 is: 32,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,943 : 20,422.50 = 20,422.50 : x
  2. Step 2: Convert to fraction form
    12,943/20,422.50 = 20,422.50/x
  3. Step 3: Cross multiply
    12,943x = 20,422.50 × 20,422.50
  4. Step 4: Simplify right side
    12,943x = 417,078,506.25
  5. Step 5: Solve for x
    x = 417,078,506.25/12,943
  6. Step 6: Final answer
    x = 32,224.25

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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.