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Finding the Third Proportional to 154,779.19 and 319,195.69

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Solution

The third proportional to 154,779.19 and 319,195.69 is: 658,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,779.19 : 319,195.69 = 319,195.69 : x
  2. Step 2: Convert to fraction form
    154,779.19/319,195.69 = 319,195.69/x
  3. Step 3: Cross multiply
    154,779.19x = 319,195.69 × 319,195.69
  4. Step 4: Simplify right side
    154,779.19x = 101,885,886,918.60
  5. Step 5: Solve for x
    x = 101,885,886,918.60/154,779.19
  6. Step 6: Final answer
    x = 658,266.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.