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Finding the Third Proportional to 9,312.75 and 19,958.63

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Solution

The third proportional to 9,312.75 and 19,958.63 is: 42,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.75 : 19,958.63 = 19,958.63 : x
  2. Step 2: Convert to fraction form
    9,312.75/19,958.63 = 19,958.63/x
  3. Step 3: Cross multiply
    9,312.75x = 19,958.63 × 19,958.63
  4. Step 4: Simplify right side
    9,312.75x = 398,346,711.89
  5. Step 5: Solve for x
    x = 398,346,711.89/9,312.75
  6. Step 6: Final answer
    x = 42,774.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.