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Finding the Third Proportional to 138,779.25 and 288,466.50

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Solution

The third proportional to 138,779.25 and 288,466.50 is: 599,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,779.25 : 288,466.50 = 288,466.50 : x
  2. Step 2: Convert to fraction form
    138,779.25/288,466.50 = 288,466.50/x
  3. Step 3: Cross multiply
    138,779.25x = 288,466.50 × 288,466.50
  4. Step 4: Simplify right side
    138,779.25x = 83,212,921,622.25
  5. Step 5: Solve for x
    x = 83,212,921,622.25/138,779.25
  6. Step 6: Final answer
    x = 599,606.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.