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Finding the Third Proportional to 223,058.81 and 317,980.69

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Solution

The third proportional to 223,058.81 and 317,980.69 is: 453,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,058.81 : 317,980.69 = 317,980.69 : x
  2. Step 2: Convert to fraction form
    223,058.81/317,980.69 = 317,980.69/x
  3. Step 3: Cross multiply
    223,058.81x = 317,980.69 × 317,980.69
  4. Step 4: Simplify right side
    223,058.81x = 101,111,717,622.97
  5. Step 5: Solve for x
    x = 101,111,717,622.97/223,058.81
  6. Step 6: Final answer
    x = 453,296.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.