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Finding the Third Proportional to 207,342 and 427,768

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Solution

The third proportional to 207,342 and 427,768 is: 882,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,342 : 427,768 = 427,768 : x
  2. Step 2: Convert to fraction form
    207,342/427,768 = 427,768/x
  3. Step 3: Cross multiply
    207,342x = 427,768 × 427,768
  4. Step 4: Simplify right side
    207,342x = 182,985,461,824
  5. Step 5: Solve for x
    x = 182,985,461,824/207,342
  6. Step 6: Final answer
    x = 882,529.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.