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Finding the Third Proportional to 200,576 and 435,712

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Solution

The third proportional to 200,576 and 435,712 is: 946,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,576 : 435,712 = 435,712 : x
  2. Step 2: Convert to fraction form
    200,576/435,712 = 435,712/x
  3. Step 3: Cross multiply
    200,576x = 435,712 × 435,712
  4. Step 4: Simplify right side
    200,576x = 189,844,946,944
  5. Step 5: Solve for x
    x = 189,844,946,944/200,576
  6. Step 6: Final answer
    x = 946,498.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.