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Finding the Third Proportional to 163,713 and 351,346

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Solution

The third proportional to 163,713 and 351,346 is: 754,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,713 : 351,346 = 351,346 : x
  2. Step 2: Convert to fraction form
    163,713/351,346 = 351,346/x
  3. Step 3: Cross multiply
    163,713x = 351,346 × 351,346
  4. Step 4: Simplify right side
    163,713x = 123,444,011,716
  5. Step 5: Solve for x
    x = 123,444,011,716/163,713
  6. Step 6: Final answer
    x = 754,026.94

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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.