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Finding the Third Proportional to 12,894 and 25,252.50

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Solution

The third proportional to 12,894 and 25,252.50 is: 49,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894 : 25,252.50 = 25,252.50 : x
  2. Step 2: Convert to fraction form
    12,894/25,252.50 = 25,252.50/x
  3. Step 3: Cross multiply
    12,894x = 25,252.50 × 25,252.50
  4. Step 4: Simplify right side
    12,894x = 637,688,756.25
  5. Step 5: Solve for x
    x = 637,688,756.25/12,894
  6. Step 6: Final answer
    x = 49,456.24

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.