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Finding the Third Proportional to 223,116 and 312,786

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Solution

The third proportional to 223,116 and 312,786 is: 438,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,116 : 312,786 = 312,786 : x
  2. Step 2: Convert to fraction form
    223,116/312,786 = 312,786/x
  3. Step 3: Cross multiply
    223,116x = 312,786 × 312,786
  4. Step 4: Simplify right side
    223,116x = 97,835,081,796
  5. Step 5: Solve for x
    x = 97,835,081,796/223,116
  6. Step 6: Final answer
    x = 438,494.24

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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.