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Finding the Third Proportional to 328,870.13 and 491,983.88

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Solution

The third proportional to 328,870.13 and 491,983.88 is: 735,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,870.13 : 491,983.88 = 491,983.88 : x
  2. Step 2: Convert to fraction form
    328,870.13/491,983.88 = 491,983.88/x
  3. Step 3: Cross multiply
    328,870.13x = 491,983.88 × 491,983.88
  4. Step 4: Simplify right side
    328,870.13x = 242,048,133,260.02
  5. Step 5: Solve for x
    x = 242,048,133,260.02/328,870.13
  6. Step 6: Final answer
    x = 735,999.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.