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Finding the Third Proportional to 442,016 and 679,804

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Solution

The third proportional to 442,016 and 679,804 is: 1,045,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,016 : 679,804 = 679,804 : x
  2. Step 2: Convert to fraction form
    442,016/679,804 = 679,804/x
  3. Step 3: Cross multiply
    442,016x = 679,804 × 679,804
  4. Step 4: Simplify right side
    442,016x = 462,133,478,416
  5. Step 5: Solve for x
    x = 462,133,478,416/442,016
  6. Step 6: Final answer
    x = 1,045,513.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.