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Finding the Third Proportional to 412,816 and 581,335

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Solution

The third proportional to 412,816 and 581,335 is: 818,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,816 : 581,335 = 581,335 : x
  2. Step 2: Convert to fraction form
    412,816/581,335 = 581,335/x
  3. Step 3: Cross multiply
    412,816x = 581,335 × 581,335
  4. Step 4: Simplify right side
    412,816x = 337,950,382,225
  5. Step 5: Solve for x
    x = 337,950,382,225/412,816
  6. Step 6: Final answer
    x = 818,646.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.