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Finding the Third Proportional to 489,859 and 742,171

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Solution

The third proportional to 489,859 and 742,171 is: 1,124,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,859 : 742,171 = 742,171 : x
  2. Step 2: Convert to fraction form
    489,859/742,171 = 742,171/x
  3. Step 3: Cross multiply
    489,859x = 742,171 × 742,171
  4. Step 4: Simplify right side
    489,859x = 550,817,793,241
  5. Step 5: Solve for x
    x = 550,817,793,241/489,859
  6. Step 6: Final answer
    x = 1,124,441.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.