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Finding the Third Proportional to 292,069 and 439,400

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Solution

The third proportional to 292,069 and 439,400 is: 661,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,069 : 439,400 = 439,400 : x
  2. Step 2: Convert to fraction form
    292,069/439,400 = 439,400/x
  3. Step 3: Cross multiply
    292,069x = 439,400 × 439,400
  4. Step 4: Simplify right side
    292,069x = 193,072,360,000
  5. Step 5: Solve for x
    x = 193,072,360,000/292,069
  6. Step 6: Final answer
    x = 661,050.51

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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.