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Finding the Third Proportional to 356,642 and 554,007

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Solution

The third proportional to 356,642 and 554,007 is: 860,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,642 : 554,007 = 554,007 : x
  2. Step 2: Convert to fraction form
    356,642/554,007 = 554,007/x
  3. Step 3: Cross multiply
    356,642x = 554,007 × 554,007
  4. Step 4: Simplify right side
    356,642x = 306,923,756,049
  5. Step 5: Solve for x
    x = 306,923,756,049/356,642
  6. Step 6: Final answer
    x = 860,593.41

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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.