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Finding the Third Proportional to 138,000.50 and 297,143

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Solution

The third proportional to 138,000.50 and 297,143 is: 639,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,000.50 : 297,143 = 297,143 : x
  2. Step 2: Convert to fraction form
    138,000.50/297,143 = 297,143/x
  3. Step 3: Cross multiply
    138,000.50x = 297,143 × 297,143
  4. Step 4: Simplify right side
    138,000.50x = 88,293,962,449
  5. Step 5: Solve for x
    x = 88,293,962,449/138,000.50
  6. Step 6: Final answer
    x = 639,809.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.