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Finding the Third Proportional to 103,633,956 and 221,616,818

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Solution

The third proportional to 103,633,956 and 221,616,818 is: 473,918,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,956 : 221,616,818 = 221,616,818 : x
  2. Step 2: Convert to fraction form
    103,633,956/221,616,818 = 221,616,818/x
  3. Step 3: Cross multiply
    103,633,956x = 221,616,818 × 221,616,818
  4. Step 4: Simplify right side
    103,633,956x = 49,114,014,020,445,120
  5. Step 5: Solve for x
    x = 49,114,014,020,445,120/103,633,956
  6. Step 6: Final answer
    x = 473,918,162.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.