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Finding the Third Proportional to 362,561 and 509,659

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Solution

The third proportional to 362,561 and 509,659 is: 716,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,561 : 509,659 = 509,659 : x
  2. Step 2: Convert to fraction form
    362,561/509,659 = 509,659/x
  3. Step 3: Cross multiply
    362,561x = 509,659 × 509,659
  4. Step 4: Simplify right side
    362,561x = 259,752,296,281
  5. Step 5: Solve for x
    x = 259,752,296,281/362,561
  6. Step 6: Final answer
    x = 716,437.50

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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.