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Finding the Third Proportional to 338,645 and 723,945

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Solution

The third proportional to 338,645 and 723,945 is: 1,547,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,645 : 723,945 = 723,945 : x
  2. Step 2: Convert to fraction form
    338,645/723,945 = 723,945/x
  3. Step 3: Cross multiply
    338,645x = 723,945 × 723,945
  4. Step 4: Simplify right side
    338,645x = 524,096,363,025
  5. Step 5: Solve for x
    x = 524,096,363,025/338,645
  6. Step 6: Final answer
    x = 1,547,627.64

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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.