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Finding the Third Proportional to 319,293 and 490,918.50

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Solution

The third proportional to 319,293 and 490,918.50 is: 754,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,293 : 490,918.50 = 490,918.50 : x
  2. Step 2: Convert to fraction form
    319,293/490,918.50 = 490,918.50/x
  3. Step 3: Cross multiply
    319,293x = 490,918.50 × 490,918.50
  4. Step 4: Simplify right side
    319,293x = 241,000,973,642.25
  5. Step 5: Solve for x
    x = 241,000,973,642.25/319,293
  6. Step 6: Final answer
    x = 754,795.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.