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Finding the Third Proportional to 442,072 and 679,888

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Solution

The third proportional to 442,072 and 679,888 is: 1,045,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,072 : 679,888 = 679,888 : x
  2. Step 2: Convert to fraction form
    442,072/679,888 = 679,888/x
  3. Step 3: Cross multiply
    442,072x = 679,888 × 679,888
  4. Step 4: Simplify right side
    442,072x = 462,247,692,544
  5. Step 5: Solve for x
    x = 462,247,692,544/442,072
  6. Step 6: Final answer
    x = 1,045,638.93

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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.