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Finding the Third Proportional to 233,720 and 511,909

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Solution

The third proportional to 233,720 and 511,909 is: 1,121,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,720 : 511,909 = 511,909 : x
  2. Step 2: Convert to fraction form
    233,720/511,909 = 511,909/x
  3. Step 3: Cross multiply
    233,720x = 511,909 × 511,909
  4. Step 4: Simplify right side
    233,720x = 262,050,824,281
  5. Step 5: Solve for x
    x = 262,050,824,281/233,720
  6. Step 6: Final answer
    x = 1,121,216.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.