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Finding the Third Proportional to 144,004.50 and 319,437

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Solution

The third proportional to 144,004.50 and 319,437 is: 708,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,004.50 : 319,437 = 319,437 : x
  2. Step 2: Convert to fraction form
    144,004.50/319,437 = 319,437/x
  3. Step 3: Cross multiply
    144,004.50x = 319,437 × 319,437
  4. Step 4: Simplify right side
    144,004.50x = 102,039,996,969
  5. Step 5: Solve for x
    x = 102,039,996,969/144,004.50
  6. Step 6: Final answer
    x = 708,588.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.