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Finding the Third Proportional to 261,820 and 402,936

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Solution

The third proportional to 261,820 and 402,936 is: 620,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,820 : 402,936 = 402,936 : x
  2. Step 2: Convert to fraction form
    261,820/402,936 = 402,936/x
  3. Step 3: Cross multiply
    261,820x = 402,936 × 402,936
  4. Step 4: Simplify right side
    261,820x = 162,357,420,096
  5. Step 5: Solve for x
    x = 162,357,420,096/261,820
  6. Step 6: Final answer
    x = 620,110.84

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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.