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Finding the Third Proportional to 282,575 and 423,867

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Solution

The third proportional to 282,575 and 423,867 is: 635,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,575 : 423,867 = 423,867 : x
  2. Step 2: Convert to fraction form
    282,575/423,867 = 423,867/x
  3. Step 3: Cross multiply
    282,575x = 423,867 × 423,867
  4. Step 4: Simplify right side
    282,575x = 179,663,233,689
  5. Step 5: Solve for x
    x = 179,663,233,689/282,575
  6. Step 6: Final answer
    x = 635,807.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.