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Finding the Third Proportional to 261,069.75 and 403,899

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Solution

The third proportional to 261,069.75 and 403,899 is: 624,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,069.75 : 403,899 = 403,899 : x
  2. Step 2: Convert to fraction form
    261,069.75/403,899 = 403,899/x
  3. Step 3: Cross multiply
    261,069.75x = 403,899 × 403,899
  4. Step 4: Simplify right side
    261,069.75x = 163,134,402,201
  5. Step 5: Solve for x
    x = 163,134,402,201/261,069.75
  6. Step 6: Final answer
    x = 624,869.03

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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.