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Finding the Third Proportional to 342,630 and 736,290

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Solution

The third proportional to 342,630 and 736,290 is: 1,582,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,630 : 736,290 = 736,290 : x
  2. Step 2: Convert to fraction form
    342,630/736,290 = 736,290/x
  3. Step 3: Cross multiply
    342,630x = 736,290 × 736,290
  4. Step 4: Simplify right side
    342,630x = 542,122,964,100
  5. Step 5: Solve for x
    x = 542,122,964,100/342,630
  6. Step 6: Final answer
    x = 1,582,240.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.