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Finding the Third Proportional to 402,810 and 856,596

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Solution

The third proportional to 402,810 and 856,596 is: 1,821,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,810 : 856,596 = 856,596 : x
  2. Step 2: Convert to fraction form
    402,810/856,596 = 856,596/x
  3. Step 3: Cross multiply
    402,810x = 856,596 × 856,596
  4. Step 4: Simplify right side
    402,810x = 733,756,707,216
  5. Step 5: Solve for x
    x = 733,756,707,216/402,810
  6. Step 6: Final answer
    x = 1,821,595.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.