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Finding the Third Proportional to 362,720 and 784,960

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Solution

The third proportional to 362,720 and 784,960 is: 1,698,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,720 : 784,960 = 784,960 : x
  2. Step 2: Convert to fraction form
    362,720/784,960 = 784,960/x
  3. Step 3: Cross multiply
    362,720x = 784,960 × 784,960
  4. Step 4: Simplify right side
    362,720x = 616,162,201,600
  5. Step 5: Solve for x
    x = 616,162,201,600/362,720
  6. Step 6: Final answer
    x = 1,698,726.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.