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Finding the Third Proportional to 102,343,104 and 221,692,320

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Solution

The third proportional to 102,343,104 and 221,692,320 is: 480,222,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,343,104 : 221,692,320 = 221,692,320 : x
  2. Step 2: Convert to fraction form
    102,343,104/221,692,320 = 221,692,320/x
  3. Step 3: Cross multiply
    102,343,104x = 221,692,320 × 221,692,320
  4. Step 4: Simplify right side
    102,343,104x = 49,147,484,746,982,400
  5. Step 5: Solve for x
    x = 49,147,484,746,982,400/102,343,104
  6. Step 6: Final answer
    x = 480,222,729.49

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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.