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Finding the Third Proportional to 249,740 and 397,219

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Solution

The third proportional to 249,740 and 397,219 is: 631,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,740 : 397,219 = 397,219 : x
  2. Step 2: Convert to fraction form
    249,740/397,219 = 397,219/x
  3. Step 3: Cross multiply
    249,740x = 397,219 × 397,219
  4. Step 4: Simplify right side
    249,740x = 157,782,933,961
  5. Step 5: Solve for x
    x = 157,782,933,961/249,740
  6. Step 6: Final answer
    x = 631,788.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.