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Finding the Third Proportional to 200,460 and 435,894

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Solution

The third proportional to 200,460 and 435,894 is: 947,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,460 : 435,894 = 435,894 : x
  2. Step 2: Convert to fraction form
    200,460/435,894 = 435,894/x
  3. Step 3: Cross multiply
    200,460x = 435,894 × 435,894
  4. Step 4: Simplify right side
    200,460x = 190,003,579,236
  5. Step 5: Solve for x
    x = 190,003,579,236/200,460
  6. Step 6: Final answer
    x = 947,837.87

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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.