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Finding the Third Proportional to 489,789 and 742,077

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Solution

The third proportional to 489,789 and 742,077 is: 1,124,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,789 : 742,077 = 742,077 : x
  2. Step 2: Convert to fraction form
    489,789/742,077 = 742,077/x
  3. Step 3: Cross multiply
    489,789x = 742,077 × 742,077
  4. Step 4: Simplify right side
    489,789x = 550,678,273,929
  5. Step 5: Solve for x
    x = 550,678,273,929/489,789
  6. Step 6: Final answer
    x = 1,124,317.36

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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.