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Finding the Third Proportional to 333,253.50 and 715,755

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Solution

The third proportional to 333,253.50 and 715,755 is: 1,537,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,253.50 : 715,755 = 715,755 : x
  2. Step 2: Convert to fraction form
    333,253.50/715,755 = 715,755/x
  3. Step 3: Cross multiply
    333,253.50x = 715,755 × 715,755
  4. Step 4: Simplify right side
    333,253.50x = 512,305,220,025
  5. Step 5: Solve for x
    x = 512,305,220,025/333,253.50
  6. Step 6: Final answer
    x = 1,537,283.84

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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.