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Finding the Third Proportional to 137,369.25 and 289,703.25

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Solution

The third proportional to 137,369.25 and 289,703.25 is: 610,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,369.25 : 289,703.25 = 289,703.25 : x
  2. Step 2: Convert to fraction form
    137,369.25/289,703.25 = 289,703.25/x
  3. Step 3: Cross multiply
    137,369.25x = 289,703.25 × 289,703.25
  4. Step 4: Simplify right side
    137,369.25x = 83,927,973,060.56
  5. Step 5: Solve for x
    x = 83,927,973,060.56/137,369.25
  6. Step 6: Final answer
    x = 610,966.23

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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.