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Finding the Third Proportional to 282,532 and 426,678

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Solution

The third proportional to 282,532 and 426,678 is: 644,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,532 : 426,678 = 426,678 : x
  2. Step 2: Convert to fraction form
    282,532/426,678 = 426,678/x
  3. Step 3: Cross multiply
    282,532x = 426,678 × 426,678
  4. Step 4: Simplify right side
    282,532x = 182,054,115,684
  5. Step 5: Solve for x
    x = 182,054,115,684/282,532
  6. Step 6: Final answer
    x = 644,366.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.