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Finding the Third Proportional to 253,278 and 553,212

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Solution

The third proportional to 253,278 and 553,212 is: 1,208,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,278 : 553,212 = 553,212 : x
  2. Step 2: Convert to fraction form
    253,278/553,212 = 553,212/x
  3. Step 3: Cross multiply
    253,278x = 553,212 × 553,212
  4. Step 4: Simplify right side
    253,278x = 306,043,516,944
  5. Step 5: Solve for x
    x = 306,043,516,944/253,278
  6. Step 6: Final answer
    x = 1,208,330.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.