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Finding the Third Proportional to 489,951 and 769,922

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Solution

The third proportional to 489,951 and 769,922 is: 1,209,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,951 : 769,922 = 769,922 : x
  2. Step 2: Convert to fraction form
    489,951/769,922 = 769,922/x
  3. Step 3: Cross multiply
    489,951x = 769,922 × 769,922
  4. Step 4: Simplify right side
    489,951x = 592,779,886,084
  5. Step 5: Solve for x
    x = 592,779,886,084/489,951
  6. Step 6: Final answer
    x = 1,209,875.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.