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Finding the Third Proportional to 261,812 and 403,015

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Solution

The third proportional to 261,812 and 403,015 is: 620,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,812 : 403,015 = 403,015 : x
  2. Step 2: Convert to fraction form
    261,812/403,015 = 403,015/x
  3. Step 3: Cross multiply
    261,812x = 403,015 × 403,015
  4. Step 4: Simplify right side
    261,812x = 162,421,090,225
  5. Step 5: Solve for x
    x = 162,421,090,225/261,812
  6. Step 6: Final answer
    x = 620,372.98

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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.