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Finding the Third Proportional to 212,906 and 333,987

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Solution

The third proportional to 212,906 and 333,987 is: 523,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,906 : 333,987 = 333,987 : x
  2. Step 2: Convert to fraction form
    212,906/333,987 = 333,987/x
  3. Step 3: Cross multiply
    212,906x = 333,987 × 333,987
  4. Step 4: Simplify right side
    212,906x = 111,547,316,169
  5. Step 5: Solve for x
    x = 111,547,316,169/212,906
  6. Step 6: Final answer
    x = 523,927.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.