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Finding the Third Proportional to 389,984 and 810,588

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Solution

The third proportional to 389,984 and 810,588 is: 1,684,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,984 : 810,588 = 810,588 : x
  2. Step 2: Convert to fraction form
    389,984/810,588 = 810,588/x
  3. Step 3: Cross multiply
    389,984x = 810,588 × 810,588
  4. Step 4: Simplify right side
    389,984x = 657,052,905,744
  5. Step 5: Solve for x
    x = 657,052,905,744/389,984
  6. Step 6: Final answer
    x = 1,684,820.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.