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Finding the Third Proportional to 328,351.50 and 488,146.50

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Solution

The third proportional to 328,351.50 and 488,146.50 is: 725,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,351.50 : 488,146.50 = 488,146.50 : x
  2. Step 2: Convert to fraction form
    328,351.50/488,146.50 = 488,146.50/x
  3. Step 3: Cross multiply
    328,351.50x = 488,146.50 × 488,146.50
  4. Step 4: Simplify right side
    328,351.50x = 238,287,005,462.25
  5. Step 5: Solve for x
    x = 238,287,005,462.25/328,351.50
  6. Step 6: Final answer
    x = 725,707.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.