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Finding the Third Proportional to 194,985 and 421,953

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Solution

The third proportional to 194,985 and 421,953 is: 913,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,985 : 421,953 = 421,953 : x
  2. Step 2: Convert to fraction form
    194,985/421,953 = 421,953/x
  3. Step 3: Cross multiply
    194,985x = 421,953 × 421,953
  4. Step 4: Simplify right side
    194,985x = 178,044,334,209
  5. Step 5: Solve for x
    x = 178,044,334,209/194,985
  6. Step 6: Final answer
    x = 913,118.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.