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Finding the Third Proportional to 393,414 and 577,212

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Solution

The third proportional to 393,414 and 577,212 is: 846,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,414 : 577,212 = 577,212 : x
  2. Step 2: Convert to fraction form
    393,414/577,212 = 577,212/x
  3. Step 3: Cross multiply
    393,414x = 577,212 × 577,212
  4. Step 4: Simplify right side
    393,414x = 333,173,692,944
  5. Step 5: Solve for x
    x = 333,173,692,944/393,414
  6. Step 6: Final answer
    x = 846,878.08

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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.