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Finding the Third Proportional to 326,340 and 691,830

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Solution

The third proportional to 326,340 and 691,830 is: 1,466,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,340 : 691,830 = 691,830 : x
  2. Step 2: Convert to fraction form
    326,340/691,830 = 691,830/x
  3. Step 3: Cross multiply
    326,340x = 691,830 × 691,830
  4. Step 4: Simplify right side
    326,340x = 478,628,748,900
  5. Step 5: Solve for x
    x = 478,628,748,900/326,340
  6. Step 6: Final answer
    x = 1,466,656.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.