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Finding the Third Proportional to 164,478 and 351,420

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Solution

The third proportional to 164,478 and 351,420 is: 750,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,478 : 351,420 = 351,420 : x
  2. Step 2: Convert to fraction form
    164,478/351,420 = 351,420/x
  3. Step 3: Cross multiply
    164,478x = 351,420 × 351,420
  4. Step 4: Simplify right side
    164,478x = 123,496,016,400
  5. Step 5: Solve for x
    x = 123,496,016,400/164,478
  6. Step 6: Final answer
    x = 750,836.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.