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Finding the Third Proportional to 320,709 and 692,265

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Solution

The third proportional to 320,709 and 692,265 is: 1,494,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,709 : 692,265 = 692,265 : x
  2. Step 2: Convert to fraction form
    320,709/692,265 = 692,265/x
  3. Step 3: Cross multiply
    320,709x = 692,265 × 692,265
  4. Step 4: Simplify right side
    320,709x = 479,230,830,225
  5. Step 5: Solve for x
    x = 479,230,830,225/320,709
  6. Step 6: Final answer
    x = 1,494,285.57

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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.