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Finding the Third Proportional to 249,057 and 349,479

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Solution

The third proportional to 249,057 and 349,479 is: 490,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,057 : 349,479 = 349,479 : x
  2. Step 2: Convert to fraction form
    249,057/349,479 = 349,479/x
  3. Step 3: Cross multiply
    249,057x = 349,479 × 349,479
  4. Step 4: Simplify right side
    249,057x = 122,135,571,441
  5. Step 5: Solve for x
    x = 122,135,571,441/249,057
  6. Step 6: Final answer
    x = 490,392.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.