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Finding the Third Proportional to 576,331.50 and 926,010

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Solution

The third proportional to 576,331.50 and 926,010 is: 1,487,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,331.50 : 926,010 = 926,010 : x
  2. Step 2: Convert to fraction form
    576,331.50/926,010 = 926,010/x
  3. Step 3: Cross multiply
    576,331.50x = 926,010 × 926,010
  4. Step 4: Simplify right side
    576,331.50x = 857,494,520,100
  5. Step 5: Solve for x
    x = 857,494,520,100/576,331.50
  6. Step 6: Final answer
    x = 1,487,849.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.