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Finding the Third Proportional to 320,407 and 692,208

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Solution

The third proportional to 320,407 and 692,208 is: 1,495,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,407 : 692,208 = 692,208 : x
  2. Step 2: Convert to fraction form
    320,407/692,208 = 692,208/x
  3. Step 3: Cross multiply
    320,407x = 692,208 × 692,208
  4. Step 4: Simplify right side
    320,407x = 479,151,915,264
  5. Step 5: Solve for x
    x = 479,151,915,264/320,407
  6. Step 6: Final answer
    x = 1,495,447.71

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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.