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Finding the Third Proportional to 235,572 and 515,148

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Solution

The third proportional to 235,572 and 515,148 is: 1,126,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,572 : 515,148 = 515,148 : x
  2. Step 2: Convert to fraction form
    235,572/515,148 = 515,148/x
  3. Step 3: Cross multiply
    235,572x = 515,148 × 515,148
  4. Step 4: Simplify right side
    235,572x = 265,377,461,904
  5. Step 5: Solve for x
    x = 265,377,461,904/235,572
  6. Step 6: Final answer
    x = 1,126,523.79

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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.