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Finding the Third Proportional to 335,688 and 512,298

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Solution

The third proportional to 335,688 and 512,298 is: 781,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,688 : 512,298 = 512,298 : x
  2. Step 2: Convert to fraction form
    335,688/512,298 = 512,298/x
  3. Step 3: Cross multiply
    335,688x = 512,298 × 512,298
  4. Step 4: Simplify right side
    335,688x = 262,449,240,804
  5. Step 5: Solve for x
    x = 262,449,240,804/335,688
  6. Step 6: Final answer
    x = 781,824.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.