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Finding the Third Proportional to 102,472,510 and 223,139,450

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Solution

The third proportional to 102,472,510 and 223,139,450 is: 485,898,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,510 : 223,139,450 = 223,139,450 : x
  2. Step 2: Convert to fraction form
    102,472,510/223,139,450 = 223,139,450/x
  3. Step 3: Cross multiply
    102,472,510x = 223,139,450 × 223,139,450
  4. Step 4: Simplify right side
    102,472,510x = 49,791,214,146,302,496
  5. Step 5: Solve for x
    x = 49,791,214,146,302,496/102,472,510
  6. Step 6: Final answer
    x = 485,898,258.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.