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Finding the Third Proportional to 486,774 and 726,111

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Solution

The third proportional to 486,774 and 726,111 is: 1,083,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,774 : 726,111 = 726,111 : x
  2. Step 2: Convert to fraction form
    486,774/726,111 = 726,111/x
  3. Step 3: Cross multiply
    486,774x = 726,111 × 726,111
  4. Step 4: Simplify right side
    486,774x = 527,237,184,321
  5. Step 5: Solve for x
    x = 527,237,184,321/486,774
  6. Step 6: Final answer
    x = 1,083,125.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.