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Finding the Third Proportional to 47,421 and 102,447

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Solution

The third proportional to 47,421 and 102,447 is: 221,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,421 : 102,447 = 102,447 : x
  2. Step 2: Convert to fraction form
    47,421/102,447 = 102,447/x
  3. Step 3: Cross multiply
    47,421x = 102,447 × 102,447
  4. Step 4: Simplify right side
    47,421x = 10,495,387,809
  5. Step 5: Solve for x
    x = 10,495,387,809/47,421
  6. Step 6: Final answer
    x = 221,323.63

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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.