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Finding the Third Proportional to 163,915 and 357,619

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Solution

The third proportional to 163,915 and 357,619 is: 780,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,915 : 357,619 = 357,619 : x
  2. Step 2: Convert to fraction form
    163,915/357,619 = 357,619/x
  3. Step 3: Cross multiply
    163,915x = 357,619 × 357,619
  4. Step 4: Simplify right side
    163,915x = 127,891,349,161
  5. Step 5: Solve for x
    x = 127,891,349,161/163,915
  6. Step 6: Final answer
    x = 780,229.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.