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Finding the Third Proportional to 249,000 and 380,790

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Solution

The third proportional to 249,000 and 380,790 is: 582,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,000 : 380,790 = 380,790 : x
  2. Step 2: Convert to fraction form
    249,000/380,790 = 380,790/x
  3. Step 3: Cross multiply
    249,000x = 380,790 × 380,790
  4. Step 4: Simplify right side
    249,000x = 145,001,024,100
  5. Step 5: Solve for x
    x = 145,001,024,100/249,000
  6. Step 6: Final answer
    x = 582,333.43

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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.