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Finding the Third Proportional to 356,796 and 554,256

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Solution

The third proportional to 356,796 and 554,256 is: 860,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,796 : 554,256 = 554,256 : x
  2. Step 2: Convert to fraction form
    356,796/554,256 = 554,256/x
  3. Step 3: Cross multiply
    356,796x = 554,256 × 554,256
  4. Step 4: Simplify right side
    356,796x = 307,199,713,536
  5. Step 5: Solve for x
    x = 307,199,713,536/356,796
  6. Step 6: Final answer
    x = 860,995.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.