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Finding the Third Proportional to 223,276 and 312,309

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Solution

The third proportional to 223,276 and 312,309 is: 436,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,276 : 312,309 = 312,309 : x
  2. Step 2: Convert to fraction form
    223,276/312,309 = 312,309/x
  3. Step 3: Cross multiply
    223,276x = 312,309 × 312,309
  4. Step 4: Simplify right side
    223,276x = 97,536,911,481
  5. Step 5: Solve for x
    x = 97,536,911,481/223,276
  6. Step 6: Final answer
    x = 436,844.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.