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Finding the Third Proportional to 331,239.75 and 714,967.50

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Solution

The third proportional to 331,239.75 and 714,967.50 is: 1,543,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,239.75 : 714,967.50 = 714,967.50 : x
  2. Step 2: Convert to fraction form
    331,239.75/714,967.50 = 714,967.50/x
  3. Step 3: Cross multiply
    331,239.75x = 714,967.50 × 714,967.50
  4. Step 4: Simplify right side
    331,239.75x = 511,178,526,056.25
  5. Step 5: Solve for x
    x = 511,178,526,056.25/331,239.75
  6. Step 6: Final answer
    x = 1,543,228.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.