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Finding the Third Proportional to 347,137 and 760,856

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Solution

The third proportional to 347,137 and 760,856 is: 1,667,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,137 : 760,856 = 760,856 : x
  2. Step 2: Convert to fraction form
    347,137/760,856 = 760,856/x
  3. Step 3: Cross multiply
    347,137x = 760,856 × 760,856
  4. Step 4: Simplify right side
    347,137x = 578,901,852,736
  5. Step 5: Solve for x
    x = 578,901,852,736/347,137
  6. Step 6: Final answer
    x = 1,667,646.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.