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Finding the Third Proportional to 9,719 and 14,580.50

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Solution

The third proportional to 9,719 and 14,580.50 is: 21,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719 : 14,580.50 = 14,580.50 : x
  2. Step 2: Convert to fraction form
    9,719/14,580.50 = 14,580.50/x
  3. Step 3: Cross multiply
    9,719x = 14,580.50 × 14,580.50
  4. Step 4: Simplify right side
    9,719x = 212,590,980.25
  5. Step 5: Solve for x
    x = 212,590,980.25/9,719
  6. Step 6: Final answer
    x = 21,873.75

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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.