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Finding the Third Proportional to 393,426 and 577,228

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Solution

The third proportional to 393,426 and 577,228 is: 846,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,426 : 577,228 = 577,228 : x
  2. Step 2: Convert to fraction form
    393,426/577,228 = 577,228/x
  3. Step 3: Cross multiply
    393,426x = 577,228 × 577,228
  4. Step 4: Simplify right side
    393,426x = 333,192,163,984
  5. Step 5: Solve for x
    x = 333,192,163,984/393,426
  6. Step 6: Final answer
    x = 846,899.20

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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.