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Finding the Third Proportional to 102,602 and 213,365

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Solution

The third proportional to 102,602 and 213,365 is: 443,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,602 : 213,365 = 213,365 : x
  2. Step 2: Convert to fraction form
    102,602/213,365 = 213,365/x
  3. Step 3: Cross multiply
    102,602x = 213,365 × 213,365
  4. Step 4: Simplify right side
    102,602x = 45,524,623,225
  5. Step 5: Solve for x
    x = 45,524,623,225/102,602
  6. Step 6: Final answer
    x = 443,701.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.