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Finding the Third Proportional to 266,240 and 579,136

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Solution

The third proportional to 266,240 and 579,136 is: 1,259,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,240 : 579,136 = 579,136 : x
  2. Step 2: Convert to fraction form
    266,240/579,136 = 579,136/x
  3. Step 3: Cross multiply
    266,240x = 579,136 × 579,136
  4. Step 4: Simplify right side
    266,240x = 335,398,506,496
  5. Step 5: Solve for x
    x = 335,398,506,496/266,240
  6. Step 6: Final answer
    x = 1,259,760.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.