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Finding the Third Proportional to 577,913.25 and 920,376.75

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Solution

The third proportional to 577,913.25 and 920,376.75 is: 1,465,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,913.25 : 920,376.75 = 920,376.75 : x
  2. Step 2: Convert to fraction form
    577,913.25/920,376.75 = 920,376.75/x
  3. Step 3: Cross multiply
    577,913.25x = 920,376.75 × 920,376.75
  4. Step 4: Simplify right side
    577,913.25x = 847,093,361,940.56
  5. Step 5: Solve for x
    x = 847,093,361,940.56/577,913.25
  6. Step 6: Final answer
    x = 1,465,779.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.