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Finding the Third Proportional to 138,322.50 and 301,779.75

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Solution

The third proportional to 138,322.50 and 301,779.75 is: 658,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,322.50 : 301,779.75 = 301,779.75 : x
  2. Step 2: Convert to fraction form
    138,322.50/301,779.75 = 301,779.75/x
  3. Step 3: Cross multiply
    138,322.50x = 301,779.75 × 301,779.75
  4. Step 4: Simplify right side
    138,322.50x = 91,071,017,510.06
  5. Step 5: Solve for x
    x = 91,071,017,510.06/138,322.50
  6. Step 6: Final answer
    x = 658,396.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.