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Finding the Third Proportional to 338,664 and 724,032

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Solution

The third proportional to 338,664 and 724,032 is: 1,547,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,664 : 724,032 = 724,032 : x
  2. Step 2: Convert to fraction form
    338,664/724,032 = 724,032/x
  3. Step 3: Cross multiply
    338,664x = 724,032 × 724,032
  4. Step 4: Simplify right side
    338,664x = 524,222,337,024
  5. Step 5: Solve for x
    x = 524,222,337,024/338,664
  6. Step 6: Final answer
    x = 1,547,912.79

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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.