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Finding the Third Proportional to 362,356 and 787,140

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Solution

The third proportional to 362,356 and 787,140 is: 1,709,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,356 : 787,140 = 787,140 : x
  2. Step 2: Convert to fraction form
    362,356/787,140 = 787,140/x
  3. Step 3: Cross multiply
    362,356x = 787,140 × 787,140
  4. Step 4: Simplify right side
    362,356x = 619,589,379,600
  5. Step 5: Solve for x
    x = 619,589,379,600/362,356
  6. Step 6: Final answer
    x = 1,709,891.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.