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Finding the Third Proportional to 338,637 and 723,930

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Solution

The third proportional to 338,637 and 723,930 is: 1,547,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,637 : 723,930 = 723,930 : x
  2. Step 2: Convert to fraction form
    338,637/723,930 = 723,930/x
  3. Step 3: Cross multiply
    338,637x = 723,930 × 723,930
  4. Step 4: Simplify right side
    338,637x = 524,074,644,900
  5. Step 5: Solve for x
    x = 524,074,644,900/338,637
  6. Step 6: Final answer
    x = 1,547,600.07

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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.