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Finding the Third Proportional to 21,478 and 47,316

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Solution

The third proportional to 21,478 and 47,316 is: 104,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478 : 47,316 = 47,316 : x
  2. Step 2: Convert to fraction form
    21,478/47,316 = 47,316/x
  3. Step 3: Cross multiply
    21,478x = 47,316 × 47,316
  4. Step 4: Simplify right side
    21,478x = 2,238,803,856
  5. Step 5: Solve for x
    x = 2,238,803,856/21,478
  6. Step 6: Final answer
    x = 104,237.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.