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Finding the Third Proportional to 261,814 and 403,018

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Solution

The third proportional to 261,814 and 403,018 is: 620,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,814 : 403,018 = 403,018 : x
  2. Step 2: Convert to fraction form
    261,814/403,018 = 403,018/x
  3. Step 3: Cross multiply
    261,814x = 403,018 × 403,018
  4. Step 4: Simplify right side
    261,814x = 162,423,508,324
  5. Step 5: Solve for x
    x = 162,423,508,324/261,814
  6. Step 6: Final answer
    x = 620,377.48

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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.