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Finding the Third Proportional to 5,687,417 and 8,721,219

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Solution

The third proportional to 5,687,417 and 8,721,219 is: 13,373,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687,417 : 8,721,219 = 8,721,219 : x
  2. Step 2: Convert to fraction form
    5,687,417/8,721,219 = 8,721,219/x
  3. Step 3: Cross multiply
    5,687,417x = 8,721,219 × 8,721,219
  4. Step 4: Simplify right side
    5,687,417x = 76,059,660,845,961
  5. Step 5: Solve for x
    x = 76,059,660,845,961/5,687,417
  6. Step 6: Final answer
    x = 13,373,322.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.