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Finding the Third Proportional to 21,547 and 45,055

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Solution

The third proportional to 21,547 and 45,055 is: 94,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547 : 45,055 = 45,055 : x
  2. Step 2: Convert to fraction form
    21,547/45,055 = 45,055/x
  3. Step 3: Cross multiply
    21,547x = 45,055 × 45,055
  4. Step 4: Simplify right side
    21,547x = 2,029,953,025
  5. Step 5: Solve for x
    x = 2,029,953,025/21,547
  6. Step 6: Final answer
    x = 94,210.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.