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Finding the Third Proportional to 365,010 and 780,450

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Solution

The third proportional to 365,010 and 780,450 is: 1,668,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,010 : 780,450 = 780,450 : x
  2. Step 2: Convert to fraction form
    365,010/780,450 = 780,450/x
  3. Step 3: Cross multiply
    365,010x = 780,450 × 780,450
  4. Step 4: Simplify right side
    365,010x = 609,102,202,500
  5. Step 5: Solve for x
    x = 609,102,202,500/365,010
  6. Step 6: Final answer
    x = 1,668,727.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.