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Finding the Third Proportional to 385,069 and 577,604

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Solution

The third proportional to 385,069 and 577,604 is: 866,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,069 : 577,604 = 577,604 : x
  2. Step 2: Convert to fraction form
    385,069/577,604 = 577,604/x
  3. Step 3: Cross multiply
    385,069x = 577,604 × 577,604
  4. Step 4: Simplify right side
    385,069x = 333,626,380,816
  5. Step 5: Solve for x
    x = 333,626,380,816/385,069
  6. Step 6: Final answer
    x = 866,406.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.