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Finding the Third Proportional to 328,235.72 and 712,490.81

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Solution

The third proportional to 328,235.72 and 712,490.81 is: 1,546,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,235.72 : 712,490.81 = 712,490.81 : x
  2. Step 2: Convert to fraction form
    328,235.72/712,490.81 = 712,490.81/x
  3. Step 3: Cross multiply
    328,235.72x = 712,490.81 × 712,490.81
  4. Step 4: Simplify right side
    328,235.72x = 507,643,157,896.91
  5. Step 5: Solve for x
    x = 507,643,157,896.91/328,235.72
  6. Step 6: Final answer
    x = 1,546,581.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.