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Finding the Third Proportional to 102,303 and 218,817

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Solution

The third proportional to 102,303 and 218,817 is: 468,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,303 : 218,817 = 218,817 : x
  2. Step 2: Convert to fraction form
    102,303/218,817 = 218,817/x
  3. Step 3: Cross multiply
    102,303x = 218,817 × 218,817
  4. Step 4: Simplify right side
    102,303x = 47,880,879,489
  5. Step 5: Solve for x
    x = 47,880,879,489/102,303
  6. Step 6: Final answer
    x = 468,030.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.