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Finding the Third Proportional to 323,340 and 705,416

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Solution

The third proportional to 323,340 and 705,416 is: 1,538,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,340 : 705,416 = 705,416 : x
  2. Step 2: Convert to fraction form
    323,340/705,416 = 705,416/x
  3. Step 3: Cross multiply
    323,340x = 705,416 × 705,416
  4. Step 4: Simplify right side
    323,340x = 497,611,733,056
  5. Step 5: Solve for x
    x = 497,611,733,056/323,340
  6. Step 6: Final answer
    x = 1,538,973.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.