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Finding the Third Proportional to 266,502 and 405,210

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Solution

The third proportional to 266,502 and 405,210 is: 616,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,502 : 405,210 = 405,210 : x
  2. Step 2: Convert to fraction form
    266,502/405,210 = 405,210/x
  3. Step 3: Cross multiply
    266,502x = 405,210 × 405,210
  4. Step 4: Simplify right side
    266,502x = 164,195,144,100
  5. Step 5: Solve for x
    x = 164,195,144,100/266,502
  6. Step 6: Final answer
    x = 616,112.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.