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Finding the Third Proportional to 489,769 and 742,046

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Solution

The third proportional to 489,769 and 742,046 is: 1,124,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,769 : 742,046 = 742,046 : x
  2. Step 2: Convert to fraction form
    489,769/742,046 = 742,046/x
  3. Step 3: Cross multiply
    489,769x = 742,046 × 742,046
  4. Step 4: Simplify right side
    489,769x = 550,632,266,116
  5. Step 5: Solve for x
    x = 550,632,266,116/489,769
  6. Step 6: Final answer
    x = 1,124,269.33

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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.