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Finding the Third Proportional to 139,056.75 and 293,490.84

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Solution

The third proportional to 139,056.75 and 293,490.84 is: 619,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,056.75 : 293,490.84 = 293,490.84 : x
  2. Step 2: Convert to fraction form
    139,056.75/293,490.84 = 293,490.84/x
  3. Step 3: Cross multiply
    139,056.75x = 293,490.84 × 293,490.84
  4. Step 4: Simplify right side
    139,056.75x = 86,136,875,365.09
  5. Step 5: Solve for x
    x = 86,136,875,365.09/139,056.75
  6. Step 6: Final answer
    x = 619,436.85

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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.