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Finding the Third Proportional to 353,660 and 723,658

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Solution

The third proportional to 353,660 and 723,658 is: 1,480,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,660 : 723,658 = 723,658 : x
  2. Step 2: Convert to fraction form
    353,660/723,658 = 723,658/x
  3. Step 3: Cross multiply
    353,660x = 723,658 × 723,658
  4. Step 4: Simplify right side
    353,660x = 523,680,900,964
  5. Step 5: Solve for x
    x = 523,680,900,964/353,660
  6. Step 6: Final answer
    x = 1,480,746.77

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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.