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Finding the Third Proportional to 320,154 and 689,964

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Solution

The third proportional to 320,154 and 689,964 is: 1,486,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,154 : 689,964 = 689,964 : x
  2. Step 2: Convert to fraction form
    320,154/689,964 = 689,964/x
  3. Step 3: Cross multiply
    320,154x = 689,964 × 689,964
  4. Step 4: Simplify right side
    320,154x = 476,050,321,296
  5. Step 5: Solve for x
    x = 476,050,321,296/320,154
  6. Step 6: Final answer
    x = 1,486,941.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.