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Finding the Third Proportional to 320,142 and 689,940

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Solution

The third proportional to 320,142 and 689,940 is: 1,486,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,142 : 689,940 = 689,940 : x
  2. Step 2: Convert to fraction form
    320,142/689,940 = 689,940/x
  3. Step 3: Cross multiply
    320,142x = 689,940 × 689,940
  4. Step 4: Simplify right side
    320,142x = 476,017,203,600
  5. Step 5: Solve for x
    x = 476,017,203,600/320,142
  6. Step 6: Final answer
    x = 1,486,893.95

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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.