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Finding the Third Proportional to 407,016 and 630,192

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Solution

The third proportional to 407,016 and 630,192 is: 975,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,016 : 630,192 = 630,192 : x
  2. Step 2: Convert to fraction form
    407,016/630,192 = 630,192/x
  3. Step 3: Cross multiply
    407,016x = 630,192 × 630,192
  4. Step 4: Simplify right side
    407,016x = 397,141,956,864
  5. Step 5: Solve for x
    x = 397,141,956,864/407,016
  6. Step 6: Final answer
    x = 975,740.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.