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Finding the Third Proportional to 339,654 and 719,768

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Solution

The third proportional to 339,654 and 719,768 is: 1,525,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,654 : 719,768 = 719,768 : x
  2. Step 2: Convert to fraction form
    339,654/719,768 = 719,768/x
  3. Step 3: Cross multiply
    339,654x = 719,768 × 719,768
  4. Step 4: Simplify right side
    339,654x = 518,065,973,824
  5. Step 5: Solve for x
    x = 518,065,973,824/339,654
  6. Step 6: Final answer
    x = 1,525,275.64

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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.