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Finding the Third Proportional to 442,004 and 679,787

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Solution

The third proportional to 442,004 and 679,787 is: 1,045,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,004 : 679,787 = 679,787 : x
  2. Step 2: Convert to fraction form
    442,004/679,787 = 679,787/x
  3. Step 3: Cross multiply
    442,004x = 679,787 × 679,787
  4. Step 4: Simplify right side
    442,004x = 462,110,365,369
  5. Step 5: Solve for x
    x = 462,110,365,369/442,004
  6. Step 6: Final answer
    x = 1,045,489.10

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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.