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Finding the Third Proportional to 333,066 and 490,779

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Solution

The third proportional to 333,066 and 490,779 is: 723,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,066 : 490,779 = 490,779 : x
  2. Step 2: Convert to fraction form
    333,066/490,779 = 490,779/x
  3. Step 3: Cross multiply
    333,066x = 490,779 × 490,779
  4. Step 4: Simplify right side
    333,066x = 240,864,026,841
  5. Step 5: Solve for x
    x = 240,864,026,841/333,066
  6. Step 6: Final answer
    x = 723,172.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.