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Finding the Third Proportional to 240,342 and 556,378

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Solution

The third proportional to 240,342 and 556,378 is: 1,287,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,342 : 556,378 = 556,378 : x
  2. Step 2: Convert to fraction form
    240,342/556,378 = 556,378/x
  3. Step 3: Cross multiply
    240,342x = 556,378 × 556,378
  4. Step 4: Simplify right side
    240,342x = 309,556,478,884
  5. Step 5: Solve for x
    x = 309,556,478,884/240,342
  6. Step 6: Final answer
    x = 1,287,983.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.