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Finding the Third Proportional to 328,089 and 430,807.50

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Solution

The third proportional to 328,089 and 430,807.50 is: 565,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,089 : 430,807.50 = 430,807.50 : x
  2. Step 2: Convert to fraction form
    328,089/430,807.50 = 430,807.50/x
  3. Step 3: Cross multiply
    328,089x = 430,807.50 × 430,807.50
  4. Step 4: Simplify right side
    328,089x = 185,595,102,056.25
  5. Step 5: Solve for x
    x = 185,595,102,056.25/328,089
  6. Step 6: Final answer
    x = 565,685.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.