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Finding the Third Proportional to 356,817 and 521,830

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Solution

The third proportional to 356,817 and 521,830 is: 763,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,817 : 521,830 = 521,830 : x
  2. Step 2: Convert to fraction form
    356,817/521,830 = 521,830/x
  3. Step 3: Cross multiply
    356,817x = 521,830 × 521,830
  4. Step 4: Simplify right side
    356,817x = 272,306,548,900
  5. Step 5: Solve for x
    x = 272,306,548,900/356,817
  6. Step 6: Final answer
    x = 763,154.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.