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Finding the Third Proportional to 5,213 and 7,820.50

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Solution

The third proportional to 5,213 and 7,820.50 is: 11,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213 : 7,820.50 = 7,820.50 : x
  2. Step 2: Convert to fraction form
    5,213/7,820.50 = 7,820.50/x
  3. Step 3: Cross multiply
    5,213x = 7,820.50 × 7,820.50
  4. Step 4: Simplify right side
    5,213x = 61,160,220.25
  5. Step 5: Solve for x
    x = 61,160,220.25/5,213
  6. Step 6: Final answer
    x = 11,732.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.