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Finding the Third Proportional to 319,145 and 476,458

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Solution

The third proportional to 319,145 and 476,458 is: 711,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,145 : 476,458 = 476,458 : x
  2. Step 2: Convert to fraction form
    319,145/476,458 = 476,458/x
  3. Step 3: Cross multiply
    319,145x = 476,458 × 476,458
  4. Step 4: Simplify right side
    319,145x = 227,012,225,764
  5. Step 5: Solve for x
    x = 227,012,225,764/319,145
  6. Step 6: Final answer
    x = 711,313.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.