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Finding the Third Proportional to 9,995 and 21,547

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Solution

The third proportional to 9,995 and 21,547 is: 46,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995 : 21,547 = 21,547 : x
  2. Step 2: Convert to fraction form
    9,995/21,547 = 21,547/x
  3. Step 3: Cross multiply
    9,995x = 21,547 × 21,547
  4. Step 4: Simplify right side
    9,995x = 464,273,209
  5. Step 5: Solve for x
    x = 464,273,209/9,995
  6. Step 6: Final answer
    x = 46,450.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.