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Finding the Third Proportional to 401,366 and 550,386

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Solution

The third proportional to 401,366 and 550,386 is: 754,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,366 : 550,386 = 550,386 : x
  2. Step 2: Convert to fraction form
    401,366/550,386 = 550,386/x
  3. Step 3: Cross multiply
    401,366x = 550,386 × 550,386
  4. Step 4: Simplify right side
    401,366x = 302,924,748,996
  5. Step 5: Solve for x
    x = 302,924,748,996/401,366
  6. Step 6: Final answer
    x = 754,734.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.