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Finding the Third Proportional to 137,456 and 289,664

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Solution

The third proportional to 137,456 and 289,664 is: 610,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,456 : 289,664 = 289,664 : x
  2. Step 2: Convert to fraction form
    137,456/289,664 = 289,664/x
  3. Step 3: Cross multiply
    137,456x = 289,664 × 289,664
  4. Step 4: Simplify right side
    137,456x = 83,905,232,896
  5. Step 5: Solve for x
    x = 83,905,232,896/137,456
  6. Step 6: Final answer
    x = 610,415.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.