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Finding the Third Proportional to 511,051.78 and 742,790.25

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Solution

The third proportional to 511,051.78 and 742,790.25 is: 1,079,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,051.78 : 742,790.25 = 742,790.25 : x
  2. Step 2: Convert to fraction form
    511,051.78/742,790.25 = 742,790.25/x
  3. Step 3: Cross multiply
    511,051.78x = 742,790.25 × 742,790.25
  4. Step 4: Simplify right side
    511,051.78x = 551,737,355,495.06
  5. Step 5: Solve for x
    x = 551,737,355,495.06/511,051.78
  6. Step 6: Final answer
    x = 1,079,611.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.