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Finding the Third Proportional to 345,080 and 742,608

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Solution

The third proportional to 345,080 and 742,608 is: 1,598,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,080 : 742,608 = 742,608 : x
  2. Step 2: Convert to fraction form
    345,080/742,608 = 742,608/x
  3. Step 3: Cross multiply
    345,080x = 742,608 × 742,608
  4. Step 4: Simplify right side
    345,080x = 551,466,641,664
  5. Step 5: Solve for x
    x = 551,466,641,664/345,080
  6. Step 6: Final answer
    x = 1,598,083.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.