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Finding the Third Proportional to 333,415.50 and 690,159

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Solution

The third proportional to 333,415.50 and 690,159 is: 1,428,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,415.50 : 690,159 = 690,159 : x
  2. Step 2: Convert to fraction form
    333,415.50/690,159 = 690,159/x
  3. Step 3: Cross multiply
    333,415.50x = 690,159 × 690,159
  4. Step 4: Simplify right side
    333,415.50x = 476,319,445,281
  5. Step 5: Solve for x
    x = 476,319,445,281/333,415.50
  6. Step 6: Final answer
    x = 1,428,606.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.