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Finding the Third Proportional to 420,336 and 578,004

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Solution

The third proportional to 420,336 and 578,004 is: 794,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,336 : 578,004 = 578,004 : x
  2. Step 2: Convert to fraction form
    420,336/578,004 = 578,004/x
  3. Step 3: Cross multiply
    420,336x = 578,004 × 578,004
  4. Step 4: Simplify right side
    420,336x = 334,088,624,016
  5. Step 5: Solve for x
    x = 334,088,624,016/420,336
  6. Step 6: Final answer
    x = 794,813.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.