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Finding the Third Proportional to 680,025 and 1,409,190

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Solution

The third proportional to 680,025 and 1,409,190 is: 2,920,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,025 : 1,409,190 = 1,409,190 : x
  2. Step 2: Convert to fraction form
    680,025/1,409,190 = 1,409,190/x
  3. Step 3: Cross multiply
    680,025x = 1,409,190 × 1,409,190
  4. Step 4: Simplify right side
    680,025x = 1,985,816,456,100
  5. Step 5: Solve for x
    x = 1,985,816,456,100/680,025
  6. Step 6: Final answer
    x = 2,920,210.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.