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Finding the Third Proportional to 133,848 and 289,746

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Solution

The third proportional to 133,848 and 289,746 is: 627,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,848 : 289,746 = 289,746 : x
  2. Step 2: Convert to fraction form
    133,848/289,746 = 289,746/x
  3. Step 3: Cross multiply
    133,848x = 289,746 × 289,746
  4. Step 4: Simplify right side
    133,848x = 83,952,744,516
  5. Step 5: Solve for x
    x = 83,952,744,516/133,848
  6. Step 6: Final answer
    x = 627,224.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.