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Finding the Third Proportional to 7,021,973 and 11,018,170

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Solution

The third proportional to 7,021,973 and 11,018,170 is: 17,288,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021,973 : 11,018,170 = 11,018,170 : x
  2. Step 2: Convert to fraction form
    7,021,973/11,018,170 = 11,018,170/x
  3. Step 3: Cross multiply
    7,021,973x = 11,018,170 × 11,018,170
  4. Step 4: Simplify right side
    7,021,973x = 121,400,070,148,900
  5. Step 5: Solve for x
    x = 121,400,070,148,900/7,021,973
  6. Step 6: Final answer
    x = 17,288,598.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.