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Finding the Third Proportional to 19,407 and 30,417

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Solution

The third proportional to 19,407 and 30,417 is: 47,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407 : 30,417 = 30,417 : x
  2. Step 2: Convert to fraction form
    19,407/30,417 = 30,417/x
  3. Step 3: Cross multiply
    19,407x = 30,417 × 30,417
  4. Step 4: Simplify right side
    19,407x = 925,193,889
  5. Step 5: Solve for x
    x = 925,193,889/19,407
  6. Step 6: Final answer
    x = 47,673.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.