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Finding the Third Proportional to 154,699.88 and 319,036.22

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Solution

The third proportional to 154,699.88 and 319,036.22 is: 657,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,699.88 : 319,036.22 = 319,036.22 : x
  2. Step 2: Convert to fraction form
    154,699.88/319,036.22 = 319,036.22/x
  3. Step 3: Cross multiply
    154,699.88x = 319,036.22 × 319,036.22
  4. Step 4: Simplify right side
    154,699.88x = 101,784,108,874.30
  5. Step 5: Solve for x
    x = 101,784,108,874.30/154,699.88
  6. Step 6: Final answer
    x = 657,945.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.