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Finding the Third Proportional to 393,434 and 577,240

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Solution

The third proportional to 393,434 and 577,240 is: 846,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,434 : 577,240 = 577,240 : x
  2. Step 2: Convert to fraction form
    393,434/577,240 = 577,240/x
  3. Step 3: Cross multiply
    393,434x = 577,240 × 577,240
  4. Step 4: Simplify right side
    393,434x = 333,206,017,600
  5. Step 5: Solve for x
    x = 333,206,017,600/393,434
  6. Step 6: Final answer
    x = 846,917.19

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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.