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Finding the Third Proportional to 295,882 and 647,120

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Solution

The third proportional to 295,882 and 647,120 is: 1,415,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,882 : 647,120 = 647,120 : x
  2. Step 2: Convert to fraction form
    295,882/647,120 = 647,120/x
  3. Step 3: Cross multiply
    295,882x = 647,120 × 647,120
  4. Step 4: Simplify right side
    295,882x = 418,764,294,400
  5. Step 5: Solve for x
    x = 418,764,294,400/295,882
  6. Step 6: Final answer
    x = 1,415,308.45

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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.