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Finding the Third Proportional to 320,715 and 692,280

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Solution

The third proportional to 320,715 and 692,280 is: 1,494,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,715 : 692,280 = 692,280 : x
  2. Step 2: Convert to fraction form
    320,715/692,280 = 692,280/x
  3. Step 3: Cross multiply
    320,715x = 692,280 × 692,280
  4. Step 4: Simplify right side
    320,715x = 479,251,598,400
  5. Step 5: Solve for x
    x = 479,251,598,400/320,715
  6. Step 6: Final answer
    x = 1,494,322.37

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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.