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Finding the Third Proportional to 292,328 and 638,768

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Solution

The third proportional to 292,328 and 638,768 is: 1,395,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,328 : 638,768 = 638,768 : x
  2. Step 2: Convert to fraction form
    292,328/638,768 = 638,768/x
  3. Step 3: Cross multiply
    292,328x = 638,768 × 638,768
  4. Step 4: Simplify right side
    292,328x = 408,024,557,824
  5. Step 5: Solve for x
    x = 408,024,557,824/292,328
  6. Step 6: Final answer
    x = 1,395,776.52

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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.