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Finding the Third Proportional to 266,280 and 579,579

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Solution

The third proportional to 266,280 and 579,579 is: 1,261,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,280 : 579,579 = 579,579 : x
  2. Step 2: Convert to fraction form
    266,280/579,579 = 579,579/x
  3. Step 3: Cross multiply
    266,280x = 579,579 × 579,579
  4. Step 4: Simplify right side
    266,280x = 335,911,817,241
  5. Step 5: Solve for x
    x = 335,911,817,241/266,280
  6. Step 6: Final answer
    x = 1,261,498.49

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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.