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Finding the Third Proportional to 309,631.36 and 478,537.24

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Solution

The third proportional to 309,631.36 and 478,537.24 is: 739,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,631.36 : 478,537.24 = 478,537.24 : x
  2. Step 2: Convert to fraction form
    309,631.36/478,537.24 = 478,537.24/x
  3. Step 3: Cross multiply
    309,631.36x = 478,537.24 × 478,537.24
  4. Step 4: Simplify right side
    309,631.36x = 228,997,892,160.42
  5. Step 5: Solve for x
    x = 228,997,892,160.42/309,631.36
  6. Step 6: Final answer
    x = 739,582.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.