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Finding the Third Proportional to 393,419 and 577,214

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Solution

The third proportional to 393,419 and 577,214 is: 846,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,419 : 577,214 = 577,214 : x
  2. Step 2: Convert to fraction form
    393,419/577,214 = 577,214/x
  3. Step 3: Cross multiply
    393,419x = 577,214 × 577,214
  4. Step 4: Simplify right side
    393,419x = 333,176,001,796
  5. Step 5: Solve for x
    x = 333,176,001,796/393,419
  6. Step 6: Final answer
    x = 846,873.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.