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Finding the Third Proportional to 356,140 and 782,260

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Solution

The third proportional to 356,140 and 782,260 is: 1,718,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,140 : 782,260 = 782,260 : x
  2. Step 2: Convert to fraction form
    356,140/782,260 = 782,260/x
  3. Step 3: Cross multiply
    356,140x = 782,260 × 782,260
  4. Step 4: Simplify right side
    356,140x = 611,930,707,600
  5. Step 5: Solve for x
    x = 611,930,707,600/356,140
  6. Step 6: Final answer
    x = 1,718,230.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.