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Finding the Third Proportional to 149,903 and 319,226.50

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Solution

The third proportional to 149,903 and 319,226.50 is: 679,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,903 : 319,226.50 = 319,226.50 : x
  2. Step 2: Convert to fraction form
    149,903/319,226.50 = 319,226.50/x
  3. Step 3: Cross multiply
    149,903x = 319,226.50 × 319,226.50
  4. Step 4: Simplify right side
    149,903x = 101,905,558,302.25
  5. Step 5: Solve for x
    x = 101,905,558,302.25/149,903
  6. Step 6: Final answer
    x = 679,810.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.