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Finding the Third Proportional to 328,091.50 and 506,130

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Solution

The third proportional to 328,091.50 and 506,130 is: 780,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,091.50 : 506,130 = 506,130 : x
  2. Step 2: Convert to fraction form
    328,091.50/506,130 = 506,130/x
  3. Step 3: Cross multiply
    328,091.50x = 506,130 × 506,130
  4. Step 4: Simplify right side
    328,091.50x = 256,167,576,900
  5. Step 5: Solve for x
    x = 256,167,576,900/328,091.50
  6. Step 6: Final answer
    x = 780,780.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.