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Finding the Third Proportional to 137,388 and 289,536

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Solution

The third proportional to 137,388 and 289,536 is: 610,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,388 : 289,536 = 289,536 : x
  2. Step 2: Convert to fraction form
    137,388/289,536 = 289,536/x
  3. Step 3: Cross multiply
    137,388x = 289,536 × 289,536
  4. Step 4: Simplify right side
    137,388x = 83,831,095,296
  5. Step 5: Solve for x
    x = 83,831,095,296/137,388
  6. Step 6: Final answer
    x = 610,177.71

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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.