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Finding the Third Proportional to 985,221 and 2,117,781

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Solution

The third proportional to 985,221 and 2,117,781 is: 4,552,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,221 : 2,117,781 = 2,117,781 : x
  2. Step 2: Convert to fraction form
    985,221/2,117,781 = 2,117,781/x
  3. Step 3: Cross multiply
    985,221x = 2,117,781 × 2,117,781
  4. Step 4: Simplify right side
    985,221x = 4,484,996,363,961
  5. Step 5: Solve for x
    x = 4,484,996,363,961/985,221
  6. Step 6: Final answer
    x = 4,552,274.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.