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Finding the Third Proportional to 447,687 and 973,287

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Solution

The third proportional to 447,687 and 973,287 is: 2,115,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,687 : 973,287 = 973,287 : x
  2. Step 2: Convert to fraction form
    447,687/973,287 = 973,287/x
  3. Step 3: Cross multiply
    447,687x = 973,287 × 973,287
  4. Step 4: Simplify right side
    447,687x = 947,287,584,369
  5. Step 5: Solve for x
    x = 947,287,584,369/447,687
  6. Step 6: Final answer
    x = 2,115,959.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.