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Finding the Third Proportional to 9,771,905 and 21,470,917

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Solution

The third proportional to 9,771,905 and 21,470,917 is: 47,176,090.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771,905 : 21,470,917 = 21,470,917 : x
  2. Step 2: Convert to fraction form
    9,771,905/21,470,917 = 21,470,917/x
  3. Step 3: Cross multiply
    9,771,905x = 21,470,917 × 21,470,917
  4. Step 4: Simplify right side
    9,771,905x = 461,000,276,820,889
  5. Step 5: Solve for x
    x = 461,000,276,820,889/9,771,905
  6. Step 6: Final answer
    x = 47,176,090.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.