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Finding the Third Proportional to 215,303 and 463,510

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Solution

The third proportional to 215,303 and 463,510 is: 997,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,303 : 463,510 = 463,510 : x
  2. Step 2: Convert to fraction form
    215,303/463,510 = 463,510/x
  3. Step 3: Cross multiply
    215,303x = 463,510 × 463,510
  4. Step 4: Simplify right side
    215,303x = 214,841,520,100
  5. Step 5: Solve for x
    x = 214,841,520,100/215,303
  6. Step 6: Final answer
    x = 997,856.60

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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.