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Finding the Third Proportional to 362,143 and 779,509

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Solution

The third proportional to 362,143 and 779,509 is: 1,677,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,143 : 779,509 = 779,509 : x
  2. Step 2: Convert to fraction form
    362,143/779,509 = 779,509/x
  3. Step 3: Cross multiply
    362,143x = 779,509 × 779,509
  4. Step 4: Simplify right side
    362,143x = 607,634,281,081
  5. Step 5: Solve for x
    x = 607,634,281,081/362,143
  6. Step 6: Final answer
    x = 1,677,884.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.