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Finding the Third Proportional to 353,644 and 723,630

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Solution

The third proportional to 353,644 and 723,630 is: 1,480,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,644 : 723,630 = 723,630 : x
  2. Step 2: Convert to fraction form
    353,644/723,630 = 723,630/x
  3. Step 3: Cross multiply
    353,644x = 723,630 × 723,630
  4. Step 4: Simplify right side
    353,644x = 523,640,376,900
  5. Step 5: Solve for x
    x = 523,640,376,900/353,644
  6. Step 6: Final answer
    x = 1,480,699.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.