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Finding the Third Proportional to 289,779.75 and 426,289.50

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Solution

The third proportional to 289,779.75 and 426,289.50 is: 627,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,779.75 : 426,289.50 = 426,289.50 : x
  2. Step 2: Convert to fraction form
    289,779.75/426,289.50 = 426,289.50/x
  3. Step 3: Cross multiply
    289,779.75x = 426,289.50 × 426,289.50
  4. Step 4: Simplify right side
    289,779.75x = 181,722,737,810.25
  5. Step 5: Solve for x
    x = 181,722,737,810.25/289,779.75
  6. Step 6: Final answer
    x = 627,106.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.