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Finding the Third Proportional to 292,989 and 440,264

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Solution

The third proportional to 292,989 and 440,264 is: 661,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,989 : 440,264 = 440,264 : x
  2. Step 2: Convert to fraction form
    292,989/440,264 = 440,264/x
  3. Step 3: Cross multiply
    292,989x = 440,264 × 440,264
  4. Step 4: Simplify right side
    292,989x = 193,832,389,696
  5. Step 5: Solve for x
    x = 193,832,389,696/292,989
  6. Step 6: Final answer
    x = 661,568.83

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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.