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Finding the Third Proportional to 315,074 and 479,091

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Solution

The third proportional to 315,074 and 479,091 is: 728,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,074 : 479,091 = 479,091 : x
  2. Step 2: Convert to fraction form
    315,074/479,091 = 479,091/x
  3. Step 3: Cross multiply
    315,074x = 479,091 × 479,091
  4. Step 4: Simplify right side
    315,074x = 229,528,186,281
  5. Step 5: Solve for x
    x = 229,528,186,281/315,074
  6. Step 6: Final answer
    x = 728,489.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.