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Finding the Third Proportional to 278,779.50 and 610,911

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Solution

The third proportional to 278,779.50 and 610,911 is: 1,338,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,779.50 : 610,911 = 610,911 : x
  2. Step 2: Convert to fraction form
    278,779.50/610,911 = 610,911/x
  3. Step 3: Cross multiply
    278,779.50x = 610,911 × 610,911
  4. Step 4: Simplify right side
    278,779.50x = 373,212,249,921
  5. Step 5: Solve for x
    x = 373,212,249,921/278,779.50
  6. Step 6: Final answer
    x = 1,338,736.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.