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Finding the Third Proportional to 215,547 and 463,515

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Solution

The third proportional to 215,547 and 463,515 is: 996,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,547 : 463,515 = 463,515 : x
  2. Step 2: Convert to fraction form
    215,547/463,515 = 463,515/x
  3. Step 3: Cross multiply
    215,547x = 463,515 × 463,515
  4. Step 4: Simplify right side
    215,547x = 214,846,155,225
  5. Step 5: Solve for x
    x = 214,846,155,225/215,547
  6. Step 6: Final answer
    x = 996,748.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.