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Finding the Third Proportional to 134,130 and 289,336

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Solution

The third proportional to 134,130 and 289,336 is: 624,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,130 : 289,336 = 289,336 : x
  2. Step 2: Convert to fraction form
    134,130/289,336 = 289,336/x
  3. Step 3: Cross multiply
    134,130x = 289,336 × 289,336
  4. Step 4: Simplify right side
    134,130x = 83,715,320,896
  5. Step 5: Solve for x
    x = 83,715,320,896/134,130
  6. Step 6: Final answer
    x = 624,135.70

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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.