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Finding the Third Proportional to 319,922 and 686,392

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Solution

The third proportional to 319,922 and 686,392 is: 1,472,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,922 : 686,392 = 686,392 : x
  2. Step 2: Convert to fraction form
    319,922/686,392 = 686,392/x
  3. Step 3: Cross multiply
    319,922x = 686,392 × 686,392
  4. Step 4: Simplify right side
    319,922x = 471,133,977,664
  5. Step 5: Solve for x
    x = 471,133,977,664/319,922
  6. Step 6: Final answer
    x = 1,472,652.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.