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Finding the Third Proportional to 338,536 and 723,728

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Solution

The third proportional to 338,536 and 723,728 is: 1,547,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,536 : 723,728 = 723,728 : x
  2. Step 2: Convert to fraction form
    338,536/723,728 = 723,728/x
  3. Step 3: Cross multiply
    338,536x = 723,728 × 723,728
  4. Step 4: Simplify right side
    338,536x = 523,782,217,984
  5. Step 5: Solve for x
    x = 523,782,217,984/338,536
  6. Step 6: Final answer
    x = 1,547,197.99

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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.