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Finding the Third Proportional to 403,400 and 535,116

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Solution

The third proportional to 403,400 and 535,116 is: 709,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,400 : 535,116 = 535,116 : x
  2. Step 2: Convert to fraction form
    403,400/535,116 = 535,116/x
  3. Step 3: Cross multiply
    403,400x = 535,116 × 535,116
  4. Step 4: Simplify right side
    403,400x = 286,349,133,456
  5. Step 5: Solve for x
    x = 286,349,133,456/403,400
  6. Step 6: Final answer
    x = 709,839.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.