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Finding the Third Proportional to 21,411 and 51,880.50

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Solution

The third proportional to 21,411 and 51,880.50 is: 125,710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411 : 51,880.50 = 51,880.50 : x
  2. Step 2: Convert to fraction form
    21,411/51,880.50 = 51,880.50/x
  3. Step 3: Cross multiply
    21,411x = 51,880.50 × 51,880.50
  4. Step 4: Simplify right side
    21,411x = 2,691,586,280.25
  5. Step 5: Solve for x
    x = 2,691,586,280.25/21,411
  6. Step 6: Final answer
    x = 125,710.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.