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Finding the Third Proportional to 442,006 and 679,788

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Solution

The third proportional to 442,006 and 679,788 is: 1,045,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,006 : 679,788 = 679,788 : x
  2. Step 2: Convert to fraction form
    442,006/679,788 = 679,788/x
  3. Step 3: Cross multiply
    442,006x = 679,788 × 679,788
  4. Step 4: Simplify right side
    442,006x = 462,111,724,944
  5. Step 5: Solve for x
    x = 462,111,724,944/442,006
  6. Step 6: Final answer
    x = 1,045,487.45

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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.