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Finding the Third Proportional to 326,937 and 689,370

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Solution

The third proportional to 326,937 and 689,370 is: 1,453,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,937 : 689,370 = 689,370 : x
  2. Step 2: Convert to fraction form
    326,937/689,370 = 689,370/x
  3. Step 3: Cross multiply
    326,937x = 689,370 × 689,370
  4. Step 4: Simplify right side
    326,937x = 475,230,996,900
  5. Step 5: Solve for x
    x = 475,230,996,900/326,937
  6. Step 6: Final answer
    x = 1,453,585.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.