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Finding the Third Proportional to 215,121 and 467,547

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Solution

The third proportional to 215,121 and 467,547 is: 1,016,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,121 : 467,547 = 467,547 : x
  2. Step 2: Convert to fraction form
    215,121/467,547 = 467,547/x
  3. Step 3: Cross multiply
    215,121x = 467,547 × 467,547
  4. Step 4: Simplify right side
    215,121x = 218,600,197,209
  5. Step 5: Solve for x
    x = 218,600,197,209/215,121
  6. Step 6: Final answer
    x = 1,016,173.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.