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Finding the Third Proportional to 10,199,770 and 22,194,020

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Solution

The third proportional to 10,199,770 and 22,194,020 is: 48,292,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199,770 : 22,194,020 = 22,194,020 : x
  2. Step 2: Convert to fraction form
    10,199,770/22,194,020 = 22,194,020/x
  3. Step 3: Cross multiply
    10,199,770x = 22,194,020 × 22,194,020
  4. Step 4: Simplify right side
    10,199,770x = 492,574,523,760,400
  5. Step 5: Solve for x
    x = 492,574,523,760,400/10,199,770
  6. Step 6: Final answer
    x = 48,292,708.93

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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.