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Finding the Third Proportional to 266,506 and 405,216

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Solution

The third proportional to 266,506 and 405,216 is: 616,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,506 : 405,216 = 405,216 : x
  2. Step 2: Convert to fraction form
    266,506/405,216 = 405,216/x
  3. Step 3: Cross multiply
    266,506x = 405,216 × 405,216
  4. Step 4: Simplify right side
    266,506x = 164,200,006,656
  5. Step 5: Solve for x
    x = 164,200,006,656/266,506
  6. Step 6: Final answer
    x = 616,121.24

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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.