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Finding the Third Proportional to 19,853 and 39,706

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Solution

The third proportional to 19,853 and 39,706 is: 79,412

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853 : 39,706 = 39,706 : x
  2. Step 2: Convert to fraction form
    19,853/39,706 = 39,706/x
  3. Step 3: Cross multiply
    19,853x = 39,706 × 39,706
  4. Step 4: Simplify right side
    19,853x = 1,576,566,436
  5. Step 5: Solve for x
    x = 1,576,566,436/19,853
  6. Step 6: Final answer
    x = 79,412

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.