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Finding the Third Proportional to 356,072 and 554,532

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Solution

The third proportional to 356,072 and 554,532 is: 863,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,072 : 554,532 = 554,532 : x
  2. Step 2: Convert to fraction form
    356,072/554,532 = 554,532/x
  3. Step 3: Cross multiply
    356,072x = 554,532 × 554,532
  4. Step 4: Simplify right side
    356,072x = 307,505,739,024
  5. Step 5: Solve for x
    x = 307,505,739,024/356,072
  6. Step 6: Final answer
    x = 863,605.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.