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Finding the Third Proportional to 19,391 and 40,222

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Solution

The third proportional to 19,391 and 40,222 is: 83,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,391 : 40,222 = 40,222 : x
  2. Step 2: Convert to fraction form
    19,391/40,222 = 40,222/x
  3. Step 3: Cross multiply
    19,391x = 40,222 × 40,222
  4. Step 4: Simplify right side
    19,391x = 1,617,809,284
  5. Step 5: Solve for x
    x = 1,617,809,284/19,391
  6. Step 6: Final answer
    x = 83,430.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.