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Finding the Third Proportional to 21,421 and 46,310

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Solution

The third proportional to 21,421 and 46,310 is: 100,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421 : 46,310 = 46,310 : x
  2. Step 2: Convert to fraction form
    21,421/46,310 = 46,310/x
  3. Step 3: Cross multiply
    21,421x = 46,310 × 46,310
  4. Step 4: Simplify right side
    21,421x = 2,144,616,100
  5. Step 5: Solve for x
    x = 2,144,616,100/21,421
  6. Step 6: Final answer
    x = 100,117.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.