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Finding the Third Proportional to 13,209 and 26,633

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Solution

The third proportional to 13,209 and 26,633 is: 53,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209 : 26,633 = 26,633 : x
  2. Step 2: Convert to fraction form
    13,209/26,633 = 26,633/x
  3. Step 3: Cross multiply
    13,209x = 26,633 × 26,633
  4. Step 4: Simplify right side
    13,209x = 709,316,689
  5. Step 5: Solve for x
    x = 709,316,689/13,209
  6. Step 6: Final answer
    x = 53,699.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.