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Finding the Third Proportional to 420,288 and 630,864

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Solution

The third proportional to 420,288 and 630,864 is: 946,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,288 : 630,864 = 630,864 : x
  2. Step 2: Convert to fraction form
    420,288/630,864 = 630,864/x
  3. Step 3: Cross multiply
    420,288x = 630,864 × 630,864
  4. Step 4: Simplify right side
    420,288x = 397,989,386,496
  5. Step 5: Solve for x
    x = 397,989,386,496/420,288
  6. Step 6: Final answer
    x = 946,944.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.