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Finding the Third Proportional to 363,360 and 781,968

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Solution

The third proportional to 363,360 and 781,968 is: 1,682,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,360 : 781,968 = 781,968 : x
  2. Step 2: Convert to fraction form
    363,360/781,968 = 781,968/x
  3. Step 3: Cross multiply
    363,360x = 781,968 × 781,968
  4. Step 4: Simplify right side
    363,360x = 611,473,953,024
  5. Step 5: Solve for x
    x = 611,473,953,024/363,360
  6. Step 6: Final answer
    x = 1,682,832.32

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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.