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Finding the Third Proportional to 356,520 and 774,516

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Solution

The third proportional to 356,520 and 774,516 is: 1,682,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,520 : 774,516 = 774,516 : x
  2. Step 2: Convert to fraction form
    356,520/774,516 = 774,516/x
  3. Step 3: Cross multiply
    356,520x = 774,516 × 774,516
  4. Step 4: Simplify right side
    356,520x = 599,875,034,256
  5. Step 5: Solve for x
    x = 599,875,034,256/356,520
  6. Step 6: Final answer
    x = 1,682,584.52

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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.