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Finding the Third Proportional to 288,239 and 458,017.75

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Solution

The third proportional to 288,239 and 458,017.75 is: 727,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,239 : 458,017.75 = 458,017.75 : x
  2. Step 2: Convert to fraction form
    288,239/458,017.75 = 458,017.75/x
  3. Step 3: Cross multiply
    288,239x = 458,017.75 × 458,017.75
  4. Step 4: Simplify right side
    288,239x = 209,780,259,315.06
  5. Step 5: Solve for x
    x = 209,780,259,315.06/288,239
  6. Step 6: Final answer
    x = 727,799.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.