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Finding the Third Proportional to 554,634 and 842,319

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Solution

The third proportional to 554,634 and 842,319 is: 1,279,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,634 : 842,319 = 842,319 : x
  2. Step 2: Convert to fraction form
    554,634/842,319 = 842,319/x
  3. Step 3: Cross multiply
    554,634x = 842,319 × 842,319
  4. Step 4: Simplify right side
    554,634x = 709,501,297,761
  5. Step 5: Solve for x
    x = 709,501,297,761/554,634
  6. Step 6: Final answer
    x = 1,279,224.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.