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Finding the Third Proportional to 223,250 and 312,276

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Solution

The third proportional to 223,250 and 312,276 is: 436,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,250 : 312,276 = 312,276 : x
  2. Step 2: Convert to fraction form
    223,250/312,276 = 312,276/x
  3. Step 3: Cross multiply
    223,250x = 312,276 × 312,276
  4. Step 4: Simplify right side
    223,250x = 97,516,300,176
  5. Step 5: Solve for x
    x = 97,516,300,176/223,250
  6. Step 6: Final answer
    x = 436,803.14

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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.