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Finding the Third Proportional to 411,550 and 618,420

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Solution

The third proportional to 411,550 and 618,420 is: 929,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,550 : 618,420 = 618,420 : x
  2. Step 2: Convert to fraction form
    411,550/618,420 = 618,420/x
  3. Step 3: Cross multiply
    411,550x = 618,420 × 618,420
  4. Step 4: Simplify right side
    411,550x = 382,443,296,400
  5. Step 5: Solve for x
    x = 382,443,296,400/411,550
  6. Step 6: Final answer
    x = 929,275.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.