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Finding the Third Proportional to 328,015.13 and 489,490.88

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Solution

The third proportional to 328,015.13 and 489,490.88 is: 730,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,015.13 : 489,490.88 = 489,490.88 : x
  2. Step 2: Convert to fraction form
    328,015.13/489,490.88 = 489,490.88/x
  3. Step 3: Cross multiply
    328,015.13x = 489,490.88 × 489,490.88
  4. Step 4: Simplify right side
    328,015.13x = 239,601,316,708.27
  5. Step 5: Solve for x
    x = 239,601,316,708.27/328,015.13
  6. Step 6: Final answer
    x = 730,458.14

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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.