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Finding the Third Proportional to 231,720 and 507,728

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Solution

The third proportional to 231,720 and 507,728 is: 1,112,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,720 : 507,728 = 507,728 : x
  2. Step 2: Convert to fraction form
    231,720/507,728 = 507,728/x
  3. Step 3: Cross multiply
    231,720x = 507,728 × 507,728
  4. Step 4: Simplify right side
    231,720x = 257,787,721,984
  5. Step 5: Solve for x
    x = 257,787,721,984/231,720
  6. Step 6: Final answer
    x = 1,112,496.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.