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Finding the Third Proportional to 228,390 and 351,321

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Solution

The third proportional to 228,390 and 351,321 is: 540,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,390 : 351,321 = 351,321 : x
  2. Step 2: Convert to fraction form
    228,390/351,321 = 351,321/x
  3. Step 3: Cross multiply
    228,390x = 351,321 × 351,321
  4. Step 4: Simplify right side
    228,390x = 123,426,445,041
  5. Step 5: Solve for x
    x = 123,426,445,041/228,390
  6. Step 6: Final answer
    x = 540,419.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.