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Finding the Third Proportional to 360,292 and 782,120

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Solution

The third proportional to 360,292 and 782,120 is: 1,697,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,292 : 782,120 = 782,120 : x
  2. Step 2: Convert to fraction form
    360,292/782,120 = 782,120/x
  3. Step 3: Cross multiply
    360,292x = 782,120 × 782,120
  4. Step 4: Simplify right side
    360,292x = 611,711,694,400
  5. Step 5: Solve for x
    x = 611,711,694,400/360,292
  6. Step 6: Final answer
    x = 1,697,822.03

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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.