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Finding the Third Proportional to 328,143 and 712,305

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Solution

The third proportional to 328,143 and 712,305 is: 1,546,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,143 : 712,305 = 712,305 : x
  2. Step 2: Convert to fraction form
    328,143/712,305 = 712,305/x
  3. Step 3: Cross multiply
    328,143x = 712,305 × 712,305
  4. Step 4: Simplify right side
    328,143x = 507,378,413,025
  5. Step 5: Solve for x
    x = 507,378,413,025/328,143
  6. Step 6: Final answer
    x = 1,546,211.30

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Why These Related Problems?

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