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Finding the Third Proportional to 338,642 and 723,939

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Solution

The third proportional to 338,642 and 723,939 is: 1,547,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,642 : 723,939 = 723,939 : x
  2. Step 2: Convert to fraction form
    338,642/723,939 = 723,939/x
  3. Step 3: Cross multiply
    338,642x = 723,939 × 723,939
  4. Step 4: Simplify right side
    338,642x = 524,087,675,721
  5. Step 5: Solve for x
    x = 524,087,675,721/338,642
  6. Step 6: Final answer
    x = 1,547,615.70

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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.