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Finding the Third Proportional to 261,333 and 403,785

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Solution

The third proportional to 261,333 and 403,785 is: 623,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,333 : 403,785 = 403,785 : x
  2. Step 2: Convert to fraction form
    261,333/403,785 = 403,785/x
  3. Step 3: Cross multiply
    261,333x = 403,785 × 403,785
  4. Step 4: Simplify right side
    261,333x = 163,042,326,225
  5. Step 5: Solve for x
    x = 163,042,326,225/261,333
  6. Step 6: Final answer
    x = 623,887.25

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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.