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Finding the Third Proportional to 399,074 and 472,886

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Solution

The third proportional to 399,074 and 472,886 is: 560,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,074 : 472,886 = 472,886 : x
  2. Step 2: Convert to fraction form
    399,074/472,886 = 472,886/x
  3. Step 3: Cross multiply
    399,074x = 472,886 × 472,886
  4. Step 4: Simplify right side
    399,074x = 223,621,168,996
  5. Step 5: Solve for x
    x = 223,621,168,996/399,074
  6. Step 6: Final answer
    x = 560,350.13

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.