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Finding the Third Proportional to 9,645 and 21,135

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Solution

The third proportional to 9,645 and 21,135 is: 46,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645 : 21,135 = 21,135 : x
  2. Step 2: Convert to fraction form
    9,645/21,135 = 21,135/x
  3. Step 3: Cross multiply
    9,645x = 21,135 × 21,135
  4. Step 4: Simplify right side
    9,645x = 446,688,225
  5. Step 5: Solve for x
    x = 446,688,225/9,645
  6. Step 6: Final answer
    x = 46,312.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.