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Finding the Third Proportional to 217,740 and 333,090

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Solution

The third proportional to 217,740 and 333,090 is: 509,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,740 : 333,090 = 333,090 : x
  2. Step 2: Convert to fraction form
    217,740/333,090 = 333,090/x
  3. Step 3: Cross multiply
    217,740x = 333,090 × 333,090
  4. Step 4: Simplify right side
    217,740x = 110,948,948,100
  5. Step 5: Solve for x
    x = 110,948,948,100/217,740
  6. Step 6: Final answer
    x = 509,547.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.