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Finding the Third Proportional to 285,964 and 419,388

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Solution

The third proportional to 285,964 and 419,388 is: 615,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,964 : 419,388 = 419,388 : x
  2. Step 2: Convert to fraction form
    285,964/419,388 = 419,388/x
  3. Step 3: Cross multiply
    285,964x = 419,388 × 419,388
  4. Step 4: Simplify right side
    285,964x = 175,886,294,544
  5. Step 5: Solve for x
    x = 175,886,294,544/285,964
  6. Step 6: Final answer
    x = 615,064.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.