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Finding the Third Proportional to 21,420.50 and 46,486

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Solution

The third proportional to 21,420.50 and 46,486 is: 100,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420.50 : 46,486 = 46,486 : x
  2. Step 2: Convert to fraction form
    21,420.50/46,486 = 46,486/x
  3. Step 3: Cross multiply
    21,420.50x = 46,486 × 46,486
  4. Step 4: Simplify right side
    21,420.50x = 2,160,948,196
  5. Step 5: Solve for x
    x = 2,160,948,196/21,420.50
  6. Step 6: Final answer
    x = 100,882.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.