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Finding the Third Proportional to 170,445 and 370,818

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Solution

The third proportional to 170,445 and 370,818 is: 806,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,445 : 370,818 = 370,818 : x
  2. Step 2: Convert to fraction form
    170,445/370,818 = 370,818/x
  3. Step 3: Cross multiply
    170,445x = 370,818 × 370,818
  4. Step 4: Simplify right side
    170,445x = 137,505,989,124
  5. Step 5: Solve for x
    x = 137,505,989,124/170,445
  6. Step 6: Final answer
    x = 806,746.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.