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Finding the Third Proportional to 170,220 and 370,290

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Solution

The third proportional to 170,220 and 370,290 is: 805,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,220 : 370,290 = 370,290 : x
  2. Step 2: Convert to fraction form
    170,220/370,290 = 370,290/x
  3. Step 3: Cross multiply
    170,220x = 370,290 × 370,290
  4. Step 4: Simplify right side
    170,220x = 137,114,684,100
  5. Step 5: Solve for x
    x = 137,114,684,100/170,220
  6. Step 6: Final answer
    x = 805,514.53

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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.