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Finding the Third Proportional to 10,935 and 26,446.50

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Solution

The third proportional to 10,935 and 26,446.50 is: 63,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935 : 26,446.50 = 26,446.50 : x
  2. Step 2: Convert to fraction form
    10,935/26,446.50 = 26,446.50/x
  3. Step 3: Cross multiply
    10,935x = 26,446.50 × 26,446.50
  4. Step 4: Simplify right side
    10,935x = 699,417,362.25
  5. Step 5: Solve for x
    x = 699,417,362.25/10,935
  6. Step 6: Final answer
    x = 63,961.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.