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Finding the Third Proportional to 119,461 and 256,633

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Solution

The third proportional to 119,461 and 256,633 is: 551,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,461 : 256,633 = 256,633 : x
  2. Step 2: Convert to fraction form
    119,461/256,633 = 256,633/x
  3. Step 3: Cross multiply
    119,461x = 256,633 × 256,633
  4. Step 4: Simplify right side
    119,461x = 65,860,496,689
  5. Step 5: Solve for x
    x = 65,860,496,689/119,461
  6. Step 6: Final answer
    x = 551,313.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.