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Finding the Third Proportional to 19,140 and 39,624

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Solution

The third proportional to 19,140 and 39,624 is: 82,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,140 : 39,624 = 39,624 : x
  2. Step 2: Convert to fraction form
    19,140/39,624 = 39,624/x
  3. Step 3: Cross multiply
    19,140x = 39,624 × 39,624
  4. Step 4: Simplify right side
    19,140x = 1,570,061,376
  5. Step 5: Solve for x
    x = 1,570,061,376/19,140
  6. Step 6: Final answer
    x = 82,030.37

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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.