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Finding the Third Proportional to 97,726 and 212,939

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Solution

The third proportional to 97,726 and 212,939 is: 463,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,726 : 212,939 = 212,939 : x
  2. Step 2: Convert to fraction form
    97,726/212,939 = 212,939/x
  3. Step 3: Cross multiply
    97,726x = 212,939 × 212,939
  4. Step 4: Simplify right side
    97,726x = 45,343,017,721
  5. Step 5: Solve for x
    x = 45,343,017,721/97,726
  6. Step 6: Final answer
    x = 463,981.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.