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Finding the Third Proportional to 231,420 and 507,228

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Solution

The third proportional to 231,420 and 507,228 is: 1,111,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,420 : 507,228 = 507,228 : x
  2. Step 2: Convert to fraction form
    231,420/507,228 = 507,228/x
  3. Step 3: Cross multiply
    231,420x = 507,228 × 507,228
  4. Step 4: Simplify right side
    231,420x = 257,280,243,984
  5. Step 5: Solve for x
    x = 257,280,243,984/231,420
  6. Step 6: Final answer
    x = 1,111,745.93

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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.