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Finding the Third Proportional to 362,688 and 509,838

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Solution

The third proportional to 362,688 and 509,838 is: 716,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,688 : 509,838 = 509,838 : x
  2. Step 2: Convert to fraction form
    362,688/509,838 = 509,838/x
  3. Step 3: Cross multiply
    362,688x = 509,838 × 509,838
  4. Step 4: Simplify right side
    362,688x = 259,934,786,244
  5. Step 5: Solve for x
    x = 259,934,786,244/362,688
  6. Step 6: Final answer
    x = 716,689.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.