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Finding the Third Proportional to 399,066.75 and 472,878

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Solution

The third proportional to 399,066.75 and 472,878 is: 560,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,066.75 : 472,878 = 472,878 : x
  2. Step 2: Convert to fraction form
    399,066.75/472,878 = 472,878/x
  3. Step 3: Cross multiply
    399,066.75x = 472,878 × 472,878
  4. Step 4: Simplify right side
    399,066.75x = 223,613,602,884
  5. Step 5: Solve for x
    x = 223,613,602,884/399,066.75
  6. Step 6: Final answer
    x = 560,341.35

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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.