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Finding the Third Proportional to 100,271 and 213,547

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Solution

The third proportional to 100,271 and 213,547 is: 454,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,271 : 213,547 = 213,547 : x
  2. Step 2: Convert to fraction form
    100,271/213,547 = 213,547/x
  3. Step 3: Cross multiply
    100,271x = 213,547 × 213,547
  4. Step 4: Simplify right side
    100,271x = 45,602,321,209
  5. Step 5: Solve for x
    x = 45,602,321,209/100,271
  6. Step 6: Final answer
    x = 454,790.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.