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Finding the Third Proportional to 489,857 and 742,169

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Solution

The third proportional to 489,857 and 742,169 is: 1,124,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,857 : 742,169 = 742,169 : x
  2. Step 2: Convert to fraction form
    489,857/742,169 = 742,169/x
  3. Step 3: Cross multiply
    489,857x = 742,169 × 742,169
  4. Step 4: Simplify right side
    489,857x = 550,814,824,561
  5. Step 5: Solve for x
    x = 550,814,824,561/489,857
  6. Step 6: Final answer
    x = 1,124,440.04

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