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Finding the Third Proportional to 218,009.25 and 318,386.25

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Solution

The third proportional to 218,009.25 and 318,386.25 is: 464,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,009.25 : 318,386.25 = 318,386.25 : x
  2. Step 2: Convert to fraction form
    218,009.25/318,386.25 = 318,386.25/x
  3. Step 3: Cross multiply
    218,009.25x = 318,386.25 × 318,386.25
  4. Step 4: Simplify right side
    218,009.25x = 101,369,804,189.06
  5. Step 5: Solve for x
    x = 101,369,804,189.06/218,009.25
  6. Step 6: Final answer
    x = 464,979.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.