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Finding the Third Proportional to 328,238 and 712,495

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Solution

The third proportional to 328,238 and 712,495 is: 1,546,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,238 : 712,495 = 712,495 : x
  2. Step 2: Convert to fraction form
    328,238/712,495 = 712,495/x
  3. Step 3: Cross multiply
    328,238x = 712,495 × 712,495
  4. Step 4: Simplify right side
    328,238x = 507,649,125,025
  5. Step 5: Solve for x
    x = 507,649,125,025/328,238
  6. Step 6: Final answer
    x = 1,546,588.53

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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.