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Finding the Third Proportional to 322,485 and 753,054

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Solution

The third proportional to 322,485 and 753,054 is: 1,758,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,485 : 753,054 = 753,054 : x
  2. Step 2: Convert to fraction form
    322,485/753,054 = 753,054/x
  3. Step 3: Cross multiply
    322,485x = 753,054 × 753,054
  4. Step 4: Simplify right side
    322,485x = 567,090,326,916
  5. Step 5: Solve for x
    x = 567,090,326,916/322,485
  6. Step 6: Final answer
    x = 1,758,501.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.