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Finding the Third Proportional to 266,051 and 421,209

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Solution

The third proportional to 266,051 and 421,209 is: 666,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,051 : 421,209 = 421,209 : x
  2. Step 2: Convert to fraction form
    266,051/421,209 = 421,209/x
  3. Step 3: Cross multiply
    266,051x = 421,209 × 421,209
  4. Step 4: Simplify right side
    266,051x = 177,417,021,681
  5. Step 5: Solve for x
    x = 177,417,021,681/266,051
  6. Step 6: Final answer
    x = 666,853.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.