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Finding the Third Proportional to 351,761 and 545,385

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Solution

The third proportional to 351,761 and 545,385 is: 845,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,761 : 545,385 = 545,385 : x
  2. Step 2: Convert to fraction form
    351,761/545,385 = 545,385/x
  3. Step 3: Cross multiply
    351,761x = 545,385 × 545,385
  4. Step 4: Simplify right side
    351,761x = 297,444,798,225
  5. Step 5: Solve for x
    x = 297,444,798,225/351,761
  6. Step 6: Final answer
    x = 845,587.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.