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Finding the Third Proportional to 202,946 and 323,213

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Solution

The third proportional to 202,946 and 323,213 is: 514,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,946 : 323,213 = 323,213 : x
  2. Step 2: Convert to fraction form
    202,946/323,213 = 323,213/x
  3. Step 3: Cross multiply
    202,946x = 323,213 × 323,213
  4. Step 4: Simplify right side
    202,946x = 104,466,643,369
  5. Step 5: Solve for x
    x = 104,466,643,369/202,946
  6. Step 6: Final answer
    x = 514,750.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.