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Finding the Third Proportional to 339,656 and 719,772

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Solution

The third proportional to 339,656 and 719,772 is: 1,525,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,656 : 719,772 = 719,772 : x
  2. Step 2: Convert to fraction form
    339,656/719,772 = 719,772/x
  3. Step 3: Cross multiply
    339,656x = 719,772 × 719,772
  4. Step 4: Simplify right side
    339,656x = 518,071,731,984
  5. Step 5: Solve for x
    x = 518,071,731,984/339,656
  6. Step 6: Final answer
    x = 1,525,283.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.