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Finding the Third Proportional to 235,575 and 515,154

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Solution

The third proportional to 235,575 and 515,154 is: 1,126,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,575 : 515,154 = 515,154 : x
  2. Step 2: Convert to fraction form
    235,575/515,154 = 515,154/x
  3. Step 3: Cross multiply
    235,575x = 515,154 × 515,154
  4. Step 4: Simplify right side
    235,575x = 265,383,643,716
  5. Step 5: Solve for x
    x = 265,383,643,716/235,575
  6. Step 6: Final answer
    x = 1,126,535.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.